233828011988400 has 480 divisors, whose sum is σ = 793794271057920. Its totient is φ = 58752165888000.

The previous prime is 233828011988371. The next prime is 233828011988423. The reversal of 233828011988400 is 4889110828332.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257826936 + ... + 258732264.

It is an arithmetic number, because the mean of its divisors is an integer number (1653738064704).

Almost surely, 2^{233828011988400} is an apocalyptic number.

233828011988400 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 233828011988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396897135528960).

233828011988400 is an abundant number, since it is smaller than the sum of its proper divisors (559966259069520).

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

233828011988400 is a wasteful number, since it uses less digits than its factorization.

233828011988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905565 (or 905554 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 233828011988400 in words is "two hundred thirty-three trillion, eight hundred twenty-eight billion, eleven million, nine hundred eighty-eight thousand, four hundred".