28635408400 has 45 divisors (see below), whose sum is σ = 68804700663. Its totient is φ = 11452809600.

The previous prime is 28635408377. The next prime is 28635408419. The reversal of 28635408400 is 480453682.

The square root of 28635408400 is 169220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1455269904 + 27180138496 = 38148^2 + 164864^2 .

It is a super-2 number, since 2×28635408400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3380170 + ... + 3388630.

Almost surely, 2^28635408400 is an apocalyptic number.

28635408400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28635408400 is the 169220-th square number.

It is an amenable number.

28635408400 is an abundant number, since it is smaller than the sum of its proper divisors (40169292263).

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

28635408400 is an frugal number, since it uses more digits than its factorization.

28635408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 28635408400 in words is "twenty-eight billion, six hundred thirty-five million, four hundred eight thousand, four hundred".