42928800 has 144 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 11059200.

The previous prime is 42928793. The next prime is 42928841. The reversal of 42928800 is 882924.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74112 + ... + 74688.

It is an arithmetic number, because the mean of its divisors is an integer number (1003408).

Almost surely, 2^42928800 is an apocalyptic number.

42928800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245376).

42928800 is an abundant number, since it is smaller than the sum of its proper divisors (101561952).

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

42928800 is a wasteful number, since it uses less digits than its factorization.

42928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 42928800 is about 6552.0073260032. The cubic root of 42928800 is about 350.1463333680.

The spelling of 42928800 in words is "forty-two million, nine hundred twenty-eight thousand, eight hundred".