728646952 has 64 divisors (see below), whose sum is σ = 1526688000. Its totient is φ = 323232000.

The previous prime is 728646949. The next prime is 728646959. The reversal of 728646952 is 259646827.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (1134).

It is a junction number, because it is equal to n+sod(n) for n = 728646896 and 728646905.

It is not an unprimeable number, because it can be changed into a prime (728646959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799377 + ... + 800287.

It is an arithmetic number, because the mean of its divisors is an integer number (23854500).

Almost surely, 2^728646952 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 728646952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

728646952 is an abundant number, since it is smaller than the sum of its proper divisors (798041048).

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

728646952 is a wasteful number, since it uses less digits than its factorization.

728646952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1134 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 728646952 is about 26993.4612823180. The cubic root of 728646952 is about 899.8546892971.

The spelling of 728646952 in words is "seven hundred twenty-eight million, six hundred forty-six thousand, nine hundred fifty-two".