28451510070480 has 640 divisors, whose sum is σ = 119637378432000. Its totient is φ = 6066489655296.

The previous prime is 28451510070457. The next prime is 28451510070481. The reversal of 28451510070480 is 8407001515482.

28451510070480 is a `hidden beast` number, since 2 + 8 + 4 + 51 + 51 + 0 + 0 + 70 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28451510070481) 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 127 ways as a sum of consecutive naturals, for example, 28555746 + ... + 29535294.

It is an arithmetic number, because the mean of its divisors is an integer number (186933403800).

Almost surely, 2^{28451510070480} is an apocalyptic number.

28451510070480 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 28451510070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59818689216000).

28451510070480 is an abundant number, since it is smaller than the sum of its proper divisors (91185868361520).

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

28451510070480 is a wasteful number, since it uses less digits than its factorization.

28451510070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979708 (or 979696 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 28451510070480 in words is "twenty-eight trillion, four hundred fifty-one billion, five hundred ten million, seventy thousand, four hundred eighty".