28898618624000 has 768 divisors, whose sum is σ = 76495516231680. Its totient is φ = 10882252800000.

The previous prime is 28898618623961. The next prime is 28898618624009. The reversal of 28898618624000 is 42681689882.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (28898618624009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 48084223700 + ... + 48084224300.

It is an arithmetic number, because the mean of its divisors is an integer number (99603536760).

Almost surely, 2^{28898618624000} is an apocalyptic number.

28898618624000 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 28898618624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247758115840).

28898618624000 is an abundant number, since it is smaller than the sum of its proper divisors (47596897607680).

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

28898618624000 is an equidigital number, since it uses as much as digits as its factorization.

28898618624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 62.

The spelling of 28898618624000 in words is "twenty-eight trillion, eight hundred ninety-eight billion, six hundred eighteen million, six hundred twenty-four thousand".