728784016 has 45 divisors (see below), whose sum is σ = 1503752619. Its totient is φ = 342093312.

The previous prime is 728784013. The next prime is 728784031. The reversal of 728784016 is 610487827.

The square root of 728784016 is 26996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 148937616 + 579846400 = 12204^2 + 24080^2 .

It is a super-2 number, since 2×728784016² = 1062252283954176512, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728784013) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1835530 + ... + 1835926.

Almost surely, 2^728784016 is an apocalyptic number.

728784016 is the 26996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728784016

728784016 is an abundant number, since it is smaller than the sum of its proper divisors (774968603).

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

728784016 is an equidigital number, since it uses as much as digits as its factorization.

728784016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The cubic root of 728784016 is about 899.9111089162.

The spelling of 728784016 in words is "seven hundred twenty-eight million, seven hundred eighty-four thousand, sixteen".