728620032000 has 896 divisors, whose sum is σ = 2863092031488. Its totient is φ = 161021952000.

The previous prime is 728620031939. The next prime is 728620032047. The reversal of 728620032000 is 230026827.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666623454 + ... + 666624546.

Almost surely, 2^728620032000 is an apocalyptic number.

728620032000 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 728620032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431546015744).

728620032000 is an abundant number, since it is smaller than the sum of its proper divisors (2134471999488).

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

728620032000 is a wasteful number, since it uses less digits than its factorization.

728620032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 728620032000 its reverse (230026827), we get a palindrome (728850058827).

The spelling of 728620032000 in words is "seven hundred twenty-eight billion, six hundred twenty million, thirty-two thousand".