728093952 has 216 divisors, whose sum is σ = 2302995240. Its totient is φ = 220200960.

The previous prime is 728093909. The next prime is 728093963. The reversal of 728093952 is 259390827.

It can be written as a sum of positive squares in 4 ways, for example, as 364962816 + 363131136 = 19104^2 + 19056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 728093898 and 728093907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135552 + ... + 1136192.

It is an arithmetic number, because the mean of its divisors is an integer number (10662015).

Almost surely, 2^728093952 is an apocalyptic number.

728093952 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 728093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151497620).

728093952 is an abundant number, since it is smaller than the sum of its proper divisors (1574901288).

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

728093952 is a wasteful number, since it uses less digits than its factorization.

728093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 728093952 is about 26983.2161166900. The cubic root of 728093952 is about 899.6269861629.

The spelling of 728093952 in words is "seven hundred twenty-eight million, ninety-three thousand, nine hundred fifty-two".