59328048 has 80 divisors (see below), whose sum is σ = 170433536. Its totient is φ = 17660160.

The previous prime is 59328043. The next prime is 59328083. The reversal of 59328048 is 84082395.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 59327997 and 59328015.

It is not an unprimeable number, because it can be changed into a prime (59328043) 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, 17811 + ... + 20877.

Almost surely, 2^59328048 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 59328048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85216768).

59328048 is an abundant number, since it is smaller than the sum of its proper divisors (111105488).

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

59328048 is a wasteful number, since it uses less digits than its factorization.

59328048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 59328048 is about 7702.4702531071. The cubic root of 59328048 is about 390.0198280517.

The spelling of 59328048 in words is "fifty-nine million, three hundred twenty-eight thousand, forty-eight".