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28831104 = 273229863
BaseRepresentation
bin110110111111…
…0110110000000
32000020202211200
41231332312000
524340043404
62505541200
7500026461
oct155766600
960222750
1028831104
1115302265
1297a4800
135c85c33
143b86d68
1527e7839
hex1b7ed80

28831104 has 96 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 9268224.

The previous prime is 28831097. The next prime is 28831123. The reversal of 28831104 is 40113882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32977 + ... + 33839.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 228831104 is an apocalyptic number.

28831104 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 28831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

28831104 is an abundant number, since it is smaller than the sum of its proper divisors (57093696).

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

28831104 is a wasteful number, since it uses less digits than its factorization.

28831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28831104 is about 5369.4603080757. The cubic root of 28831104 is about 306.6340818140.

Adding to 28831104 its reverse (40113882), we get a palindrome (68944986).

The spelling of 28831104 in words is "twenty-eight million, eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 863 928 1044 1152 1392 1726 1856 2088 2589 2784 3452 3712 4176 5178 5568 6904 7767 8352 10356 11136 13808 15534 16704 20712 25027 27616 31068 33408 41424 50054 55232 62136 75081 82848 100108 110464 124272 150162 165696 200216 225243 248544 300324 331392 400432 450486 497088 600648 800864 900972 994176 1201296 1601728 1801944 2402592 3203456 3603888 4805184 7207776 9610368 14415552 28831104