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28400904 = 23327371523
BaseRepresentation
bin110110001010…
…1110100001000
31222102220201100
41230111310020
524232312104
62452421400
7463255320
oct154256410
958386640
1028400904
1115039024
129617860
135b6518c
143ab4280
152760139
hex1b15d08

28400904 has 96 divisors (see below), whose sum is σ = 90342720. Its totient is φ = 7890048.

The previous prime is 28400893. The next prime is 28400917. The reversal of 28400904 is 40900482.

It is a super-2 number, since 2×284009042 = 1613222696034432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17887 + ... + 19409.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 228400904 is an apocalyptic number.

28400904 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 28400904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171360).

28400904 is an abundant number, since it is smaller than the sum of its proper divisors (61941816).

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

28400904 is a wasteful number, since it uses less digits than its factorization.

28400904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28400904 is about 5329.2498534034. The cubic root of 28400904 is about 305.1012975364.

The spelling of 28400904 in words is "twenty-eight million, four hundred thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1523 1554 2072 2331 2664 3046 3108 4569 4662 6092 6216 9138 9324 10661 12184 13707 18276 18648 21322 27414 31983 36552 42644 54828 56351 63966 85288 95949 109656 112702 127932 169053 191898 225404 255864 338106 383796 394457 450808 507159 676212 767592 788914 1014318 1183371 1352424 1577828 2028636 2366742 3155656 3550113 4057272 4733484 7100226 9466968 14200452 28400904