728613900 has 288 divisors, whose sum is σ = 2819264000. Its totient is φ = 157697280.

The previous prime is 728613889. The next prime is 728613901. The reversal of 728613900 is 9316827.

728613900 = 53³ + 54³ + ... + 232³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (728613901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358086 + ... + 360114.

Almost surely, 2^728613900 is an apocalyptic number.

728613900 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 728613900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409632000).

728613900 is an abundant number, since it is smaller than the sum of its proper divisors (2090650100).

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

728613900 is a wasteful number, since it uses less digits than its factorization.

728613900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 728613900 is about 26992.8490530363. The cubic root of 728613900 is about 899.8410830521.

The spelling of 728613900 in words is "seven hundred twenty-eight million, six hundred thirteen thousand, nine hundred".