28774838400 has 1152 divisors, whose sum is σ = 123539592960. Its totient is φ = 5818982400.

The previous prime is 28774838371. The next prime is 28774838453. The reversal of 28774838400 is 483847782.

It is a super-2 number, since 2×28774838400² (a number of 22 digits) contains 22 as substring.

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, 346684759 + ... + 346684841.

It is an arithmetic number, because the mean of its divisors is an integer number (107239230).

Almost surely, 2^28774838400 is an apocalyptic number.

28774838400 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 28774838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61769796480).

28774838400 is an abundant number, since it is smaller than the sum of its proper divisors (94764754560).

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

28774838400 is a wasteful number, since it uses less digits than its factorization.

28774838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 28774838400 in words is "twenty-eight billion, seven hundred seventy-four million, eight hundred thirty-eight thousand, four hundred".