45284928000 has 320 divisors, whose sum is σ = 162151621632. Its totient is φ = 11146444800.

The previous prime is 45284927993. The next prime is 45284928019. The reversal of 45284928000 is 82948254.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2486929 + ... + 2505071.

Almost surely, 2^45284928000 is an apocalyptic number.

45284928000 is a gapful number since it is divisible by the number (40) 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 45284928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81075810816).

45284928000 is an abundant number, since it is smaller than the sum of its proper divisors (116866693632).

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

45284928000 is a wasteful number, since it uses less digits than its factorization.

45284928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 45284928000 in words is "forty-five billion, two hundred eighty-four million, nine hundred twenty-eight thousand".