233628408 has 256 divisors, whose sum is σ = 766080000. Its totient is φ = 65318400.

The previous prime is 233628391. The next prime is 233628419. The reversal of 233628408 is 804826332.

233628408 is a `hidden beast` number, since 23 + 3 + 628 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×233628408² = 109164466049228928, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1547133 + ... + 1547283.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^233628408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233628408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040000).

233628408 is an abundant number, since it is smaller than the sum of its proper divisors (532451592).

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

233628408 is a wasteful number, since it uses less digits than its factorization.

233628408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 233628408 is about 15284.9078505564. The cubic root of 233628408 is about 615.8976540485.

The spelling of 233628408 in words is "two hundred thirty-three million, six hundred twenty-eight thousand, four hundred eight".