728529085440 has 1056 divisors, whose sum is σ = 2912144342016. Its totient is φ = 173425950720.

The previous prime is 728529085391. The next prime is 728529085457. The reversal of 728529085440 is 44580925827.

728529085440 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 2 + 90 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 501395754 + ... + 501397206.

Almost surely, 2^728529085440 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 728529085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456072171008).

728529085440 is an abundant number, since it is smaller than the sum of its proper divisors (2183615256576).

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

728529085440 is a wasteful number, since it uses less digits than its factorization.

728529085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 728529085440 in words is "seven hundred twenty-eight billion, five hundred twenty-nine million, eighty-five thousand, four hundred forty".