28819526400 has 486 divisors, whose sum is σ = 119870304372. Its totient is φ = 6586675200.

The previous prime is 28819526389. The next prime is 28819526429. The reversal of 28819526400 is 462591882.

28819526400 is a `hidden beast` number, since 2 + 8 + 81 + 9 + 526 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2817295 + ... + 2827505.

Almost surely, 2^28819526400 is an apocalyptic number.

28819526400 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 28819526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59935152186).

28819526400 is an abundant number, since it is smaller than the sum of its proper divisors (91050777972).

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

28819526400 is a wasteful number, since it uses less digits than its factorization.

28819526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28819526400 in words is "twenty-eight billion, eight hundred nineteen million, five hundred twenty-six thousand, four hundred".