235828800 has 336 divisors, whose sum is σ = 884407680. Its totient is φ = 61102080.

The previous prime is 235828793. The next prime is 235828819. The reversal of 235828800 is 8828532.

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

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, 2289549 + ... + 2289651.

Almost surely, 2^235828800 is an apocalyptic number.

235828800 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 235828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442203840).

235828800 is an abundant number, since it is smaller than the sum of its proper divisors (648578880).

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

235828800 is a wasteful number, since it uses less digits than its factorization.

235828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 235828800 is about 15356.7183994498. The cubic root of 235828800 is about 617.8251932775.

The spelling of 235828800 in words is "two hundred thirty-five million, eight hundred twenty-eight thousand, eight hundred".