478537728 has 96 divisors (see below), whose sum is σ = 1294937280. Its totient is φ = 157122560.

The previous prime is 478537699. The next prime is 478537751. The reversal of 478537728 is 827735874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435676 + ... + 436772.

It is an arithmetic number, because the mean of its divisors is an integer number (13488930).

Almost surely, 2^478537728 is an apocalyptic number.

478537728 is a gapful number since it is divisible by the number (48) 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 478537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647468640).

478537728 is an abundant number, since it is smaller than the sum of its proper divisors (816399552).

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

478537728 is a wasteful number, since it uses less digits than its factorization.

478537728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 51.

The square root of 478537728 is about 21875.5052055947. The cubic root of 478537728 is about 782.1776359649.

The spelling of 478537728 in words is "four hundred seventy-eight million, five hundred thirty-seven thousand, seven hundred twenty-eight".