59428704 has 48 divisors (see below), whose sum is σ = 158215680. Its totient is φ = 19528320.

The previous prime is 59428693. The next prime is 59428717. The reversal of 59428704 is 40782495.

59428704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (3296160).

Almost surely, 2^59428704 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 59428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79107840).

59428704 is an abundant number, since it is smaller than the sum of its proper divisors (98786976).

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

59428704 is a wasteful number, since it uses less digits than its factorization.

59428704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 59428704 is about 7709.0014917627. The cubic root of 59428704 is about 390.2402727173.

The spelling of 59428704 in words is "fifty-nine million, four hundred twenty-eight thousand, seven hundred four".