28053759696400 has 45 divisors (see below), whose sum is σ = 67399412172231. Its totient is φ = 11221461505920.

The previous prime is 28053759696371. The next prime is 28053759696437. The reversal of 28053759696400 is 469695735082.

The square root of 28053759696400 is 5296580.

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 596830412304 + 27456929284096 = 772548^2 + 5239936^2 .

It is a Duffinian number.

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, 105799186 + ... + 106064014.

Almost surely, 2^{28053759696400} is an apocalyptic number.

28053759696400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28053759696400 is the 5296580-th square number.

It is an amenable number.

28053759696400 is an abundant number, since it is smaller than the sum of its proper divisors (39345652475831).

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

28053759696400 is an frugal number, since it uses more digits than its factorization.

28053759696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529676 (or 264836 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 64.

The spelling of 28053759696400 in words is "twenty-eight trillion, fifty-three billion, seven hundred fifty-nine million, six hundred ninety-six thousand, four hundred".