18828902400 has 720 divisors, whose sum is σ = 78011673600. Its totient is φ = 3892838400.

The previous prime is 18828902383. The next prime is 18828902437. The reversal of 18828902400 is 420982881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94617501 + ... + 94617699.

Almost surely, 2^18828902400 is an apocalyptic number.

18828902400 is a gapful number since it is divisible by the number (10) 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 18828902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005836800).

18828902400 is an abundant number, since it is smaller than the sum of its proper divisors (59182771200).

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

18828902400 is a wasteful number, since it uses less digits than its factorization.

18828902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 18828902400 in words is "eighteen billion, eight hundred twenty-eight million, nine hundred two thousand, four hundred".