728652631000 has 128 divisors (see below), whose sum is σ = 1950422198400. Its totient is φ = 249593395200.

The previous prime is 728652630983. The next prime is 728652631009. The reversal of 728652631000 is 136256827.

728652631000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728652631000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728652631009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7631556 + ... + 7726444.

It is an arithmetic number, because the mean of its divisors is an integer number (15237673425).

Almost surely, 2^728652631000 is an apocalyptic number.

728652631000 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 728652631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975211099200).

728652631000 is an abundant number, since it is smaller than the sum of its proper divisors (1221769567400).

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

728652631000 is a wasteful number, since it uses less digits than its factorization.

728652631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96014 (or 96000 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 728652631000 its reverse (136256827), we get a palindrome (728788887827).

The spelling of 728652631000 in words is "seven hundred twenty-eight billion, six hundred fifty-two million, six hundred thirty-one thousand".