28481898086400 has 816 divisors, whose sum is σ = 103024574219520. Its totient is φ = 6885684019200.

The previous prime is 28481898086393. The next prime is 28481898086437. The reversal of 28481898086400 is 468089818482.

It is a super-2 number, since 2×28481898086400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 47 ways as a sum of consecutive naturals, for example, 38333644429 + ... + 38333645171.

Almost surely, 2^{28481898086400} is an apocalyptic number.

28481898086400 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 28481898086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51512287109760).

28481898086400 is an abundant number, since it is smaller than the sum of its proper divisors (74542676133120).

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

28481898086400 is an equidigital number, since it uses as much as digits as its factorization.

28481898086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 66.

The spelling of 28481898086400 in words is "twenty-eight trillion, four hundred eighty-one billion, eight hundred ninety-eight million, eighty-six thousand, four hundred".