28038832704 has 63 divisors (see below), whose sum is σ = 80379772057. Its totient is φ = 9344937984.

The previous prime is 28038832699. The next prime is 28038832733. The reversal of 28038832704 is 40723883082.

The square root of 28038832704 is 167448.

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

It can be written as a sum of positive squares in only one way, i.e., 5553230400 + 22485602304 = 74520^2 + 149952^2 .

It is a super-2 number, since 2×28038832704² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28038832704.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4015264 + ... + 4022240.

Almost surely, 2^28038832704 is an apocalyptic number.

28038832704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28038832704 is the 167448-th square number.

It is an amenable number.

28038832704 is an abundant number, since it is smaller than the sum of its proper divisors (52340939353).

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

28038832704 is an frugal number, since it uses more digits than its factorization.

28038832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28038832704 in words is "twenty-eight billion, thirty-eight million, eight hundred thirty-two thousand, seven hundred four".