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28070400744 = 23336116712757
BaseRepresentation
bin11010001001001000…
…000101001011101000
32200110021102002211000
4122021020011023220
5424442010310434
620521222035000
72012416320021
oct321110051350
980407362730
1028070400744
11109a5011601
125534878a60
132854699aa9
141504077c48
15ae4520b99
hex6892052e8

28070400744 has 128 divisors (see below), whose sum is σ = 79732396800. Its totient is φ = 9147582720.

The previous prime is 28070400739. The next prime is 28070400767. The reversal of 28070400744 is 44700407082.

It is a super-4 number, since 4×280704007444 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28070400699 and 28070400708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194014 + ... + 2206770.

It is an arithmetic number, because the mean of its divisors is an integer number (622909350).

Almost surely, 228070400744 is an apocalyptic number.

28070400744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28070400744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39866198400).

28070400744 is an abundant number, since it is smaller than the sum of its proper divisors (51661996056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28070400744 is a wasteful number, since it uses less digits than its factorization.

28070400744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 28070400744 in words is "twenty-eight billion, seventy million, four hundred thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 167 183 216 244 334 366 488 501 549 668 732 1002 1098 1336 1464 1503 1647 2004 2196 3006 3294 4008 4392 4509 6012 6588 9018 10187 12024 12757 13176 18036 20374 25514 30561 36072 38271 40748 51028 61122 76542 81496 91683 102056 114813 122244 153084 183366 229626 244488 275049 306168 344439 366732 459252 550098 688878 733464 778177 918504 1100196 1377756 1556354 2130419 2200392 2334531 2755512 3112708 4260838 4669062 6225416 6391257 7003593 8521676 9338124 12782514 14007186 17043352 18676248 19173771 21010779 25565028 28014372 38347542 42021558 51130056 56028744 57521313 76695084 84043116 115042626 129955559 153390168 168086232 230085252 259911118 389866677 460170504 519822236 779733354 1039644472 1169600031 1559466708 2339200062 3118933416 3508800093 4678400124 7017600186 9356800248 14035200372 28070400744