58728240 has 280 divisors, whose sum is σ = 219561840. Its totient is φ = 14556672.

The previous prime is 58728233. The next prime is 58728253. The reversal of 58728240 is 4282785.

It is a happy number.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 58728195 and 58728204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1108054 + ... + 1108106.

Almost surely, 2^58728240 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 58728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109780920).

58728240 is an abundant number, since it is smaller than the sum of its proper divisors (160833600).

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

58728240 is a wasteful number, since it uses less digits than its factorization.

58728240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58728240 is about 7663.4352610301. The cubic root of 58728240 is about 388.7010036022.

The spelling of 58728240 in words is "fifty-eight million, seven hundred twenty-eight thousand, two hundred forty".