228416882400 has 1728 divisors, whose sum is σ = 1038191551488. Its totient is φ = 46032814080.

The previous prime is 228416882371. The next prime is 228416882411. The reversal of 228416882400 is 4288614822.

228416882400 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 168 + 82 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1320328714 + ... + 1320328886.

It is an arithmetic number, because the mean of its divisors is an integer number (600805296).

Almost surely, 2^228416882400 is an apocalyptic number.

228416882400 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 228416882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519095775744).

228416882400 is an abundant number, since it is smaller than the sum of its proper divisors (809774669088).

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

228416882400 is a wasteful number, since it uses less digits than its factorization.

228416882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 228416882400 in words is "two hundred twenty-eight billion, four hundred sixteen million, eight hundred eighty-two thousand, four hundred".