59628420 has 96 divisors (see below), whose sum is σ = 193616640. Its totient is φ = 15206400.

The previous prime is 59628377. The next prime is 59628421. The reversal of 59628420 is 2482695.

It is a happy number.

59628420 is a `hidden beast` number, since 5 + 9 + 628 + 4 + 20 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (59628421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10020 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (2016840).

Almost surely, 2^59628420 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 59628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96808320).

59628420 is an abundant number, since it is smaller than the sum of its proper divisors (133988220).

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

59628420 is a wasteful number, since it uses less digits than its factorization.

59628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59628420 is about 7721.9440557414. The cubic root of 59628420 is about 390.6769308665.

The spelling of 59628420 in words is "fifty-nine million, six hundred twenty-eight thousand, four hundred twenty".