728988760500 has 2304 divisors, whose sum is σ = 3185618042880. Its totient is φ = 125452800000.

The previous prime is 728988760483. The next prime is 728988760547. The reversal of 728988760500 is 5067889827.

It is a super-2 number, since 2×728988760500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7217710450 + ... + 7217710550.

It is an arithmetic number, because the mean of its divisors is an integer number (1382646720).

Almost surely, 2^728988760500 is an apocalyptic number.

728988760500 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 728988760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592809021440).

728988760500 is an abundant number, since it is smaller than the sum of its proper divisors (2456629282380).

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

728988760500 is a wasteful number, since it uses less digits than its factorization.

728988760500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 728988760500 in words is "seven hundred twenty-eight billion, nine hundred eighty-eight million, seven hundred sixty thousand, five hundred".