28040413902400 has 63 divisors (see below), whose sum is σ = 68997464654401. Its totient is φ = 11216080835840.

The previous prime is 28040413902383. The next prime is 28040413902421. The reversal of 28040413902400 is 420931404082.

The square root of 28040413902400 is 5295320.

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., 10094549004864 + 17945864897536 = 3177192^2 + 4236256^2 .

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 28040413902400.

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 8 ways as a sum of consecutive naturals, for example, 211746609 + ... + 211878991.

Almost surely, 2^{28040413902400} is an apocalyptic number.

28040413902400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28040413902400 is the 5295320-th square number.

It is an amenable number.

28040413902400 is an abundant number, since it is smaller than the sum of its proper divisors (40957050752001).

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

28040413902400 is an frugal number, since it uses more digits than its factorization.

28040413902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264788 (or 132390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 28040413902400 in words is "twenty-eight trillion, forty billion, four hundred thirteen million, nine hundred two thousand, four hundred".