728122000 has 80 divisors (see below), whose sum is σ = 1772993664. Its totient is φ = 289200000.

The previous prime is 728121991. The next prime is 728122033. The reversal of 728122000 is 221827.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300795 + ... + 303205.

Almost surely, 2^728122000 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 728122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886496832).

728122000 is an abundant number, since it is smaller than the sum of its proper divisors (1044871664).

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

728122000 is a wasteful number, since it uses less digits than its factorization.

728122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 728122000 is about 26983.7358421698. The cubic root of 728122000 is about 899.6385379750.

Adding to 728122000 its reverse (221827), we get a palindrome (728343827).

The spelling of 728122000 in words is "seven hundred twenty-eight million, one hundred twenty-two thousand".