28042565990400 has 1440 divisors, whose sum is σ = 112867569294480. Its totient is φ = 6840212520960.

The previous prime is 28042565990359. The next prime is 28042565990407. The reversal of 28042565990400 is 409956524082.

28042565990400 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 2 + 5 + 6 + 599 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28042565990407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6092234499 + ... + 6092239101.

Almost surely, 2^{28042565990400} is an apocalyptic number.

28042565990400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28042565990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56433784647240).

28042565990400 is an abundant number, since it is smaller than the sum of its proper divisors (84825003304080).

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

28042565990400 is a wasteful number, since it uses less digits than its factorization.

28042565990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 28042565990400 in words is "twenty-eight trillion, forty-two billion, five hundred sixty-five million, nine hundred ninety thousand, four hundred".