59428960 has 96 divisors (see below), whose sum is σ = 149960160. Its totient is φ = 22192128.

The previous prime is 59428951. The next prime is 59428969. The reversal of 59428960 is 6982495.

It is an interprime number because it is at equal distance from previous prime (59428951) and next prime (59428969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59428969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343434 + ... + 343606.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 2^59428960 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 59428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980080).

59428960 is an abundant number, since it is smaller than the sum of its proper divisors (90531200).

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

59428960 is a wasteful number, since it uses less digits than its factorization.

59428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 59428960 is about 7709.0180957110. The cubic root of 59428960 is about 390.2408330602.

The spelling of 59428960 in words is "fifty-nine million, four hundred twenty-eight thousand, nine hundred sixty".