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28926464 = 29721153
BaseRepresentation
bin110111001011…
…0001000000000
32000102121122112
41232112020000
524401121324
62511554452
7500604500
oct156261000
960377575
1028926464
1115367976
12982ba28
135cba468
143bada00
152815c0e
hex1b96200

28926464 has 60 divisors (see below), whose sum is σ = 67290894. Its totient is φ = 12386304.

The previous prime is 28926463. The next prime is 28926481. The reversal of 28926464 is 46462982.

It can be written as a sum of positive squares in only one way, i.e., 21086464 + 7840000 = 4592^2 + 2800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28926463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24512 + ... + 25664.

Almost surely, 228926464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33645447).

28926464 is an abundant number, since it is smaller than the sum of its proper divisors (38364430).

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

28926464 is an equidigital number, since it uses as much as digits as its factorization.

28926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1162 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 28926464 is about 5378.3328271873. The cubic root of 28926464 is about 306.9717778313.

The spelling of 28926464 in words is "twenty-eight million, nine hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1153 1568 1792 2306 3136 3584 4612 6272 8071 9224 12544 16142 18448 25088 32284 36896 56497 64568 73792 112994 129136 147584 225988 258272 295168 451976 516544 590336 903952 1033088 1807904 2066176 3615808 4132352 7231616 14463232 28926464