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28928672 = 253753461
BaseRepresentation
bin110111001011…
…0101010100000
32000102201200022
41232112222200
524401204142
62512013012
7500614103
oct156265240
960381608
1028928672
11153695a3
129831168
135cbb476
143bb073a
1528166d2
hex1b96aa0

28928672 has 48 divisors (see below), whose sum is σ = 59725512. Its totient is φ = 13777920.

The previous prime is 28928651. The next prime is 28928677. The reversal of 28928672 is 27682982.

It can be written as a sum of positive squares in 4 ways, for example, as 28344976 + 583696 = 5324^2 + 764^2 .

It is not an unprimeable number, because it can be changed into a prime (28928677) 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, 62522 + ... + 62982.

Almost surely, 228928672 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 28928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29862756).

28928672 is an abundant number, since it is smaller than the sum of its proper divisors (30796840).

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

28928672 is a wasteful number, since it uses less digits than its factorization.

28928672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 28928672 is about 5378.5380913404. The cubic root of 28928672 is about 306.9795881699.

The spelling of 28928672 in words is "twenty-eight million, nine hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 461 592 848 922 1184 1696 1844 1961 3688 3922 7376 7844 14752 15688 17057 24433 31376 34114 48866 62752 68228 97732 136456 195464 272912 390928 545824 781856 904021 1808042 3616084 7232168 14464336 28928672