28574036400 has 720 divisors, whose sum is σ = 118712714400. Its totient is φ = 5816401920.

The previous prime is 28574036389. The next prime is 28574036411. The reversal of 28574036400 is 463047582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28574036389) and next prime (28574036411).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22166956 + ... + 22168244.

It is an arithmetic number, because the mean of its divisors is an integer number (164878770).

Almost surely, 2^28574036400 is an apocalyptic number.

28574036400 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 28574036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59356357200).

28574036400 is an abundant number, since it is smaller than the sum of its proper divisors (90138678000).

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

28574036400 is a wasteful number, since it uses less digits than its factorization.

28574036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 28574036400 in words is "twenty-eight billion, five hundred seventy-four million, thirty-six thousand, four hundred".