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28931904 = 26345581
BaseRepresentation
bin110111001011…
…1011101000000
32000102220010000
41232113131000
524401310104
62512040000
7500626401
oct156273500
960386100
1028931904
1115370a71
129833000
135cbca91
143bb19a8
152817639
hex1b97740

28931904 has 70 divisors (see below), whose sum is σ = 85778594. Its totient is φ = 9642240.

The previous prime is 28931869. The next prime is 28931911. The reversal of 28931904 is 40913982.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 6350400 = 4752^2 + 2520^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 2394 + ... + 7974.

Almost surely, 228931904 is an apocalyptic number.

28931904 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 28931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42889297).

28931904 is an abundant number, since it is smaller than the sum of its proper divisors (56846690).

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

28931904 is an equidigital number, since it uses as much as digits as its factorization.

28931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 28931904 is about 5378.8385363385. The cubic root of 28931904 is about 306.9910199780.

The spelling of 28931904 in words is "twenty-eight million, nine hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5581 11162 16743 22324 33486 44648 50229 66972 89296 100458 133944 150687 178592 200916 267888 301374 357184 401832 452061 535776 602748 803664 904122 1071552 1205496 1607328 1808244 2410992 3214656 3616488 4821984 7232976 9643968 14465952 28931904