42928704 has 315 divisors, whose sum is σ = 160293177. Its totient is φ = 11321856.

The previous prime is 42928693. The next prime is 42928727. The reversal of 42928704 is 40782924.

The square root of 42928704 is 6552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 36578304 = 2520^2 + 6048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3302202 + ... + 3302214.

Almost surely, 2^42928704 is an apocalyptic number.

42928704 is the 6552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42928704

42928704 is an abundant number, since it is smaller than the sum of its proper divisors (117364473).

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

42928704 is a wasteful number, since it uses less digits than its factorization.

42928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 42928704 is about 350.1460723616.

Multiplying 42928704 by its sum of digits (36), we get a square (1545433344 = 39312²).

42928704 divided by its sum of digits (36) gives a square (1192464 = 1092²).

It can be divided in two parts, 4292 and 8704, that added together give a square (12996 = 114²).

The spelling of 42928704 in words is "forty-two million, nine hundred twenty-eight thousand, seven hundred four".