728058240 has 512 divisors, whose sum is σ = 3180441600. Its totient is φ = 153280512.

The previous prime is 728058239. The next prime is 728058251. The reversal of 728058240 is 42850827.

It is a happy number.

728058240 is a `hidden beast` number, since 72 + 8 + 0 + 582 + 4 + 0 = 666.

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 = 728058195 and 728058204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572249 + ... + 1572711.

It is an arithmetic number, because the mean of its divisors is an integer number (6211800).

Almost surely, 2^728058240 is an apocalyptic number.

728058240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590220800).

728058240 is an abundant number, since it is smaller than the sum of its proper divisors (2452383360).

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

728058240 is a wasteful number, since it uses less digits than its factorization.

728058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

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

The square root of 728058240 is about 26982.5543638848. The cubic root of 728058240 is about 899.6122774364.

The spelling of 728058240 in words is "seven hundred twenty-eight million, fifty-eight thousand, two hundred forty".