728724150 has 144 divisors (see below), whose sum is σ = 2441058048. Its totient is φ = 151416000.

The previous prime is 728724137. The next prime is 728724169. The reversal of 728724150 is 51427827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24135 + ... + 45165.

It is an arithmetic number, because the mean of its divisors is an integer number (16951792).

Almost surely, 2^728724150 is an apocalyptic number.

728724150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 728724150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220529024).

728724150 is an abundant number, since it is smaller than the sum of its proper divisors (1712333898).

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

728724150 is a wasteful number, since it uses less digits than its factorization.

728724150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 728724150 is about 26994.8911833332. The cubic root of 728724150 is about 899.8864671602.

The spelling of 728724150 in words is "seven hundred twenty-eight million, seven hundred twenty-four thousand, one hundred fifty".