28421242930080 has 3072 divisors, whose sum is σ = 137607579648000. Its totient is φ = 5398632529920.

The previous prime is 28421242930063. The next prime is 28421242930097. The reversal of 28421242930080 is 8003924212482.

28421242930080 is a `hidden beast` number, since 2 + 8 + 4 + 21 + 242 + 9 + 300 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28421242930063) and next prime (28421242930097).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23943759247 + ... + 23943760433.

It is an arithmetic number, because the mean of its divisors is an integer number (44794134000).

Almost surely, 2^{28421242930080} is an apocalyptic number.

28421242930080 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 28421242930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68803789824000).

28421242930080 is an abundant number, since it is smaller than the sum of its proper divisors (109186336717920).

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

28421242930080 is a wasteful number, since it uses less digits than its factorization.

28421242930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28421242930080 in words is "twenty-eight trillion, four hundred twenty-one billion, two hundred forty-two million, nine hundred thirty thousand, eighty".