336032928 has 192 divisors, whose sum is σ = 1222179840. Its totient is φ = 87264000.

The previous prime is 336032881. The next prime is 336032969. The reversal of 336032928 is 829230633.

336032928 is a `hidden beast` number, since 3 + 3 + 603 + 29 + 28 = 666.

It is a super-2 number, since 2×336032928² = 225836257400506368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 336032892 and 336032901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64003 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (6365520).

Almost surely, 2^336032928 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 336032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611089920).

336032928 is an abundant number, since it is smaller than the sum of its proper divisors (886146912).

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

336032928 is a wasteful number, since it uses less digits than its factorization.

336032928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 336032928 is about 18331.2009426551. The cubic root of 336032928 is about 695.2280382762.

The spelling of 336032928 in words is "three hundred thirty-six million, thirty-two thousand, nine hundred twenty-eight".