233828395920 has 1200 divisors, whose sum is σ = 1006158637440. Its totient is φ = 50185433088.

The previous prime is 233828395847. The next prime is 233828396041. The reversal of 233828395920 is 29593828332.

233828395920 is a `hidden beast` number, since 2 + 338 + 283 + 9 + 5 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2069277784 + ... + 2069277896.

Almost surely, 2^233828395920 is an apocalyptic number.

233828395920 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 233828395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503079318720).

233828395920 is an abundant number, since it is smaller than the sum of its proper divisors (772330241520).

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

233828395920 is an equidigital number, since it uses as much as digits as its factorization.

233828395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 233828395920 in words is "two hundred thirty-three billion, eight hundred twenty-eight million, three hundred ninety-five thousand, nine hundred twenty".