233428824000 has 448 divisors, whose sum is σ = 858160742400. Its totient is φ = 62121600000.

The previous prime is 233428823993. The next prime is 233428824017. The reversal of 233428824000 is 428824332.

233428824000 = T₆₁₀₅₁ + T₆₁₀₅₂ + ... + T₆₁₁₇₅.

It is a happy number.

233428824000 is a `hidden beast` number, since 2 + 334 + 2 + 88 + 240 + 0 + 0 = 666.

233428824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162215281 + ... + 162216719.

Almost surely, 2^233428824000 is an apocalyptic number.

233428824000 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 233428824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429080371200).

233428824000 is an abundant number, since it is smaller than the sum of its proper divisors (624731918400).

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

233428824000 is a wasteful number, since it uses less digits than its factorization.

233428824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 233428824000 in words is "two hundred thirty-three billion, four hundred twenty-eight million, eight hundred twenty-four thousand".