58801248 has 192 divisors, whose sum is σ = 195955200. Its totient is φ = 16980480.

The previous prime is 58801247. The next prime is 58801261. The reversal of 58801248 is 84210885.

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 (58801247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218458 + ... + 218726.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^58801248 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 58801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

58801248 is an abundant number, since it is smaller than the sum of its proper divisors (137153952).

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

58801248 is a wasteful number, since it uses less digits than its factorization.

58801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58801248 is about 7668.1971805634. The cubic root of 58801248 is about 388.8620080951.

It can be divided in two parts, 58801 and 248, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 58801248 in words is "fifty-eight million, eight hundred one thousand, two hundred forty-eight".