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28338547240 = 2355983199727
BaseRepresentation
bin11010011001000110…
…111110101000101000
32201010221222100122201
4122121012332220220
5431014132002430
621004001225544
72022153451153
oct323106765050
981127870581
1028338547240
1111022409a83
1255aa6322b4
1328980c4063
14152b918c9a
15b0cd3b8ca
hex6991bea28

28338547240 has 128 divisors (see below), whose sum is σ = 66044160000. Its totient is φ = 10938647808.

The previous prime is 28338547231. The next prime is 28338547247. The reversal of 28338547240 is 4274583382.

It is not an unprimeable number, because it can be changed into a prime (28338547247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38979757 + ... + 38980483.

It is an arithmetic number, because the mean of its divisors is an integer number (515970000).

Almost surely, 228338547240 is an apocalyptic number.

28338547240 is a gapful number since it is divisible by the number (20) 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 28338547240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080000).

28338547240 is an abundant number, since it is smaller than the sum of its proper divisors (37705612760).

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

28338547240 is a wasteful number, since it uses less digits than its factorization.

28338547240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

It can be divided in two parts, 283385 and 47240, that added together give a square (330625 = 5752).

The spelling of 28338547240 in words is "twenty-eight billion, three hundred thirty-eight million, five hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 83 118 166 199 236 295 332 398 415 472 590 664 727 796 830 995 1180 1454 1592 1660 1990 2360 2908 3320 3635 3980 4897 5816 7270 7960 9794 11741 14540 16517 19588 23482 24485 29080 33034 39176 42893 46964 48970 58705 60341 66068 82585 85786 93928 97940 117410 120682 132136 144673 165170 171572 195880 214465 234820 241364 289346 301705 330340 343144 428930 469640 482728 578692 603410 660680 723365 857860 974503 1157384 1206820 1446730 1715720 1949006 2413640 2893460 3560119 3898012 4872515 5786920 7120238 7796024 8535707 9745030 12007859 14240476 17071414 17800595 19490060 24015718 28480952 34142828 35601190 38980120 42678535 48031436 60039295 68285656 71202380 85357070 96062872 120078590 142404760 170714140 240157180 341428280 480314360 708463681 1416927362 2833854724 3542318405 5667709448 7084636810 14169273620 28338547240