59428080 has 140 divisors (see below), whose sum is σ = 207363960. Its totient is φ = 15831936.

The previous prime is 59428079. The next prime is 59428081. The reversal of 59428080 is 8082495.

59428080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59428079) and next prime (59428081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59428081) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 57811 + ... + 58829.

Almost surely, 2^59428080 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 59428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103681980).

59428080 is an abundant number, since it is smaller than the sum of its proper divisors (147935880).

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

59428080 is a wasteful number, since it uses less digits than its factorization.

59428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 59428080 is about 7708.9610194889. The cubic root of 59428080 is about 390.2389068746.

The spelling of 59428080 in words is "fifty-nine million, four hundred twenty-eight thousand, eighty".