28800400288004 has 48 divisors (see below), whose sum is σ = 54031774431600. Its totient is φ = 13384280211456.

The previous prime is 28800400287991. The next prime is 28800400288013. The reversal of 28800400288004 is 40088200400882.

It can be written as a sum of positive squares in 8 ways, for example, as 3305676695104 + 25494723592900 = 1818152^2 + 5049230^2 .

It is a super-2 number, since 2×28800400288004² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1954892 + ... + 7837244.

It is an arithmetic number, because the mean of its divisors is an integer number (1125661967325).

Almost surely, 2^{28800400288004} is an apocalyptic number.

It is an amenable number.

28800400288004 is a deficient number, since it is larger than the sum of its proper divisors (25231374143596).

28800400288004 is a wasteful number, since it uses less digits than its factorization.

28800400288004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883272 (or 5883270 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

Adding to 28800400288004 its reverse (40088200400882), we get a palindrome (68888600688886).

It can be divided in two parts, 28800400 and 288004, that multiplied together give a square (8294630401600 = 2880040²).

The spelling of 28800400288004 in words is "twenty-eight trillion, eight hundred billion, four hundred million, two hundred eighty-eight thousand, four".