728017403040 has 1152 divisors, whose sum is σ = 2823427031040. Its totient is φ = 175033958400.

The previous prime is 728017403033. The next prime is 728017403051. The reversal of 728017403040 is 40304710827.

It is a happy number.

728017403040 is a `hidden beast` number, since 7 + 280 + 1 + 74 + 0 + 304 + 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 = 728017402986 and 728017403004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3811609345 + ... + 3811609535.

It is an arithmetic number, because the mean of its divisors is an integer number (2450891520).

Almost surely, 2^728017403040 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 728017403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411713515520).

728017403040 is an abundant number, since it is smaller than the sum of its proper divisors (2095409628000).

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

728017403040 is a wasteful number, since it uses less digits than its factorization.

728017403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 728017403040 in words is "seven hundred twenty-eight billion, seventeen million, four hundred three thousand, forty".