28713600 has 144 divisors (see below), whose sum is σ = 102559470. Its totient is φ = 7649280.

The previous prime is 28713599. The next prime is 28713613. The reversal of 28713600 is 631782.

It can be written as a sum of positive squares in 3 ways, for example, as 25644096 + 3069504 = 5064^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28302 + ... + 29298.

Almost surely, 2^28713600 is an apocalyptic number.

28713600 is a gapful number since it is divisible by the number (20) 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 28713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279735).

28713600 is an abundant number, since it is smaller than the sum of its proper divisors (73845870).

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

28713600 is a wasteful number, since it uses less digits than its factorization.

28713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28713600 is about 5358.5072548239. The cubic root of 28713600 is about 306.2169421488.

The spelling of 28713600 in words is "twenty-eight million, seven hundred thirteen thousand, six hundred".