58328640 has 224 divisors, whose sum is σ = 211896960. Its totient is φ = 15095808.

The previous prime is 58328617. The next prime is 58328663. The reversal of 58328640 is 4682385.

58328640 is a `hidden beast` number, since 5 + 8 + 3 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (58328617) and next prime (58328663).

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

It is a junction number, because it is equal to n+sod(n) for n = 58328595 and 58328604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371442 + ... + 371598.

Almost surely, 2^58328640 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 58328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105948480).

58328640 is an abundant number, since it is smaller than the sum of its proper divisors (153568320).

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

58328640 is a wasteful number, since it uses less digits than its factorization.

58328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58328640 is about 7637.3189012899. The cubic root of 58328640 is about 387.8173937907.

The spelling of 58328640 in words is "fifty-eight million, three hundred twenty-eight thousand, six hundred forty".