58828959 has 96 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 29465856.

The previous prime is 58828937. The next prime is 58828981. The reversal of 58828959 is 95982885.

58828959 is a `hidden beast` number, since 588 + 2 + 8 + 9 + 59 = 666.

58828959 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 (58828937) and next prime (58828981).

It is not a de Polignac number, because 58828959 - 2⁸ = 58828703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58828919) 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 95 ways as a sum of consecutive naturals, for example, 997072 + ... + 997130.

It is an arithmetic number, because the mean of its divisors is an integer number (1170000).

Almost surely, 2^58828959 is an apocalyptic number.

58828959 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

58828959 is a deficient number, since it is larger than the sum of its proper divisors (53491041).

58828959 is a wasteful number, since it uses less digits than its factorization.

58828959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 58828959 is about 7670.0038461529. The cubic root of 58828959 is about 388.9230842523.

It can be divided in two parts, 5882 and 8959, that added together give a palindrome (14841).

The spelling of 58828959 in words is "fifty-eight million, eight hundred twenty-eight thousand, nine hundred fifty-nine".