235052928000 has 1232 divisors, whose sum is σ = 963322457760. Its totient is φ = 56733696000.

The previous prime is 235052927999. The next prime is 235052928023. The reversal of 235052928000 is 829250532.

235052928000 is a `hidden beast` number, since 2 + 3 + 50 + 529 + 2 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×235052928000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1026431886 + ... + 1026432114.

Almost surely, 2^235052928000 is an apocalyptic number.

235052928000 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 235052928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481661228880).

235052928000 is an abundant number, since it is smaller than the sum of its proper divisors (728269529760).

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

235052928000 is an equidigital number, since it uses as much as digits as its factorization.

235052928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 235052928000 in words is "two hundred thirty-five billion, fifty-two million, nine hundred twenty-eight thousand".