233828160 has 224 divisors, whose sum is σ = 792236160. Its totient is φ = 58318848.

The previous prime is 233828159. The next prime is 233828171. The reversal of 233828160 is 61828332.

It is a congruent number.

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, 1029967 + ... + 1030193.

Almost surely, 2^233828160 is an apocalyptic number.

233828160 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 233828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396118080).

233828160 is an abundant number, since it is smaller than the sum of its proper divisors (558408000).

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

233828160 is a wasteful number, since it uses less digits than its factorization.

233828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 233828160 is about 15291.4407431085. The cubic root of 233828160 is about 616.0731346237.

The spelling of 233828160 in words is "two hundred thirty-three million, eight hundred twenty-eight thousand, one hundred sixty".