Search a number
-
+
28749738624 = 27393779903
BaseRepresentation
bin11010110001100111…
…100011001010000000
32202012121201001012020
4122301213203022000
5432334413113444
621112450401440
72035305513645
oct326147431200
982177631166
1028749738624
1111213529172
1256a4290280
132932353579
14156a393dcc
15b33eb1119
hex6b19e3280

28749738624 has 64 divisors (see below), whose sum is σ = 76448951040. Its totient is φ = 9572898816.

The previous prime is 28749738593. The next prime is 28749738629. The reversal of 28749738624 is 42683794782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28749738629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319857 + ... + 399759.

It is an arithmetic number, because the mean of its divisors is an integer number (1194514860).

Almost surely, 228749738624 is an apocalyptic number.

28749738624 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 28749738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38224475520).

28749738624 is an abundant number, since it is smaller than the sum of its proper divisors (47699212416).

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

28749738624 is an equidigital number, since it uses as much as digits as its factorization.

28749738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80857 (or 80845 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 28749738624 in words is "twenty-eight billion, seven hundred forty-nine million, seven hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 937 1874 2811 3748 5622 7496 11244 14992 22488 29984 44976 59968 79903 89952 119936 159806 179904 239709 319612 359808 479418 639224 958836 1278448 1917672 2556896 3835344 5113792 7670688 10227584 15341376 30682752 74869111 149738222 224607333 299476444 449214666 598952888 898429332 1197905776 1796858664 2395811552 3593717328 4791623104 7187434656 9583246208 14374869312 28749738624