368900928 has 252 divisors, whose sum is σ = 1194531520. Its totient is φ = 108725760.

The previous prime is 368900927. The next prime is 368900953. The reversal of 368900928 is 829009863.

368900928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368900928² = 272175789358522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368900923) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4669593 + ... + 4669671.

Almost surely, 2^368900928 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 368900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597265760).

368900928 is an abundant number, since it is smaller than the sum of its proper divisors (825630592).

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

368900928 is a wasteful number, since it uses less digits than its factorization.

368900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 368900928 is about 19206.7937980289. The cubic root of 368900928 is about 717.1938925798.

The spelling of 368900928 in words is "three hundred sixty-eight million, nine hundred thousand, nine hundred twenty-eight".