62428960 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 22364160.

The previous prime is 62428939. The next prime is 62428979. The reversal of 62428960 is 6982426.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138816 + ... + 139264.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^62428960 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 62428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

62428960 is an abundant number, since it is smaller than the sum of its proper divisors (100867040).

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

62428960 is a wasteful number, since it uses less digits than its factorization.

62428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 62428960 is about 7901.1999088746. The cubic root of 62428960 is about 396.6998473605.

It can be divided in two parts, 624 and 28960, that added together give a square (29584 = 172²).

The spelling of 62428960 in words is "sixty-two million, four hundred twenty-eight thousand, nine hundred sixty".