28918750129920 has 648 divisors, whose sum is σ = 116565989759856. Its totient is φ = 6600091631616.

The previous prime is 28918750129877. The next prime is 28918750129961. The reversal of 28918750129920 is 2992105781982.

28918750129920 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 87 + 501 + 29 + 9 + 20 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379856979 + ... + 379933101.

Almost surely, 2^{28918750129920} is an apocalyptic number.

28918750129920 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 28918750129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58282994879928).

28918750129920 is an abundant number, since it is smaller than the sum of its proper divisors (87647239629936).

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

28918750129920 is a wasteful number, since it uses less digits than its factorization.

28918750129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76837 (or 76813 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 28918750129920 in words is "twenty-eight trillion, nine hundred eighteen billion, seven hundred fifty million, one hundred twenty-nine thousand, nine hundred twenty".