28542419452800 has 960 divisors, whose sum is σ = 115958478517200. Its totient is φ = 6855819264000.

The previous prime is 28542419452777. The next prime is 28542419452829. The reversal of 28542419452800 is 825491424582.

It is a happy number.

28542419452800 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 24 + 1 + 94 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 310734880 + ... + 310826720.

Almost surely, 2^{28542419452800} is an apocalyptic number.

28542419452800 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 28542419452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57979239258600).

28542419452800 is an abundant number, since it is smaller than the sum of its proper divisors (87416059064400).

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

28542419452800 is a wasteful number, since it uses less digits than its factorization.

28542419452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91997 (or 91971 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 28542419452800 in words is "twenty-eight trillion, five hundred forty-two billion, four hundred nineteen million, four hundred fifty-two thousand, eight hundred".