28579162348800 has 1944 divisors, whose sum is σ = 124273718639616. Its totient is φ = 6478749204480.

The previous prime is 28579162348769. The next prime is 28579162348811. The reversal of 28579162348800 is 884326197582.

28579162348800 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 91 + 62 + 3 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×28579162348800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9678008124 + ... + 9678011076.

It is a 2-persistent number, because it is pandigital, and so is 2⋅28579162348800 = 57158324697600, but 3⋅28579162348800 = 85737487046400 is not.

Almost surely, 2^{28579162348800} is an apocalyptic number.

28579162348800 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 28579162348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62136859319808).

28579162348800 is an abundant number, since it is smaller than the sum of its proper divisors (95694556290816).

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

28579162348800 is a wasteful number, since it uses less digits than its factorization.

28579162348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 28579162348800 in words is "twenty-eight trillion, five hundred seventy-nine billion, one hundred sixty-two million, three hundred forty-eight thousand, eight hundred".