728510832 has 270 divisors, whose sum is σ = 2512292328. Its totient is φ = 196124544.

The previous prime is 728510813. The next prime is 728510833. The reversal of 728510832 is 238015827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728510833) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10873263 + ... + 10873329.

Almost surely, 2^728510832 is an apocalyptic number.

728510832 is a gapful number since it is divisible by the number (72) 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 728510832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256146164).

728510832 is an abundant number, since it is smaller than the sum of its proper divisors (1783781496).

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

728510832 is a wasteful number, since it uses less digits than its factorization.

728510832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 728510832 is about 26990.9398132040. The cubic root of 728510832 is about 899.7986512537.

The spelling of 728510832 in words is "seven hundred twenty-eight million, five hundred ten thousand, eight hundred thirty-two".