332728704 has 384 divisors, whose sum is σ = 1242408960. Its totient is φ = 83635200.

The previous prime is 332728699. The next prime is 332728723. The reversal of 332728704 is 407827233.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×332728704² = 221416780931039232, 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10733169 + ... + 10733199.

It is an arithmetic number, because the mean of its divisors is an integer number (3235440).

Almost surely, 2^332728704 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 332728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621204480).

332728704 is an abundant number, since it is smaller than the sum of its proper divisors (909680256).

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

332728704 is a wasteful number, since it uses less digits than its factorization.

332728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 332728704 is about 18240.8526116517. The cubic root of 332728704 is about 692.9417940531.

The spelling of 332728704 in words is "three hundred thirty-two million, seven hundred twenty-eight thousand, seven hundred four".