28385510400 has 891 divisors, whose sum is σ = 114279901671. Its totient is φ = 6987202560.

The previous prime is 28385510381. The next prime is 28385510411. The reversal of 28385510400 is 401558382.

It is a happy number.

The square root of 28385510400 is 168480.

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

28385510400 is a `hidden beast` number, since 28 + 3 + 85 + 510 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7316407296 + 21069103104 = 85536^2 + 145152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2183500794 + ... + 2183500806.

Almost surely, 2^28385510400 is an apocalyptic number.

28385510400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28385510400 is the 168480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28385510400

28385510400 is an abundant number, since it is smaller than the sum of its proper divisors (85894391271).

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

28385510400 is an frugal number, since it uses more digits than its factorization.

28385510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 28385510400 by its sum of digits (36), we get a square (1021878374400 = 1010880²).

28385510400 divided by its sum of digits (36) gives a square (788486400 = 28080²).

The spelling of 28385510400 in words is "twenty-eight billion, three hundred eighty-five million, five hundred ten thousand, four hundred".