283957228800 has 1080 divisors, whose sum is σ = 1270766540736. Its totient is φ = 61073326080.

The previous prime is 283957228781. The next prime is 283957228831. The reversal of 283957228800 is 8822759382.

It is a happy number.

283957228800 is a `hidden beast` number, since 28 + 395 + 7 + 228 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61687299 + ... + 61691901.

Almost surely, 2^283957228800 is an apocalyptic number.

283957228800 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 283957228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635383270368).

283957228800 is an abundant number, since it is smaller than the sum of its proper divisors (986809311936).

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

283957228800 is a wasteful number, since it uses less digits than its factorization.

283957228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 283957228800 in words is "two hundred eighty-three billion, nine hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred".