28874288997120 has 1152 divisors, whose sum is σ = 113062548307968. Its totient is φ = 6138032947200.

The previous prime is 28874288997077. The next prime is 28874288997187. The reversal of 28874288997120 is 2179988247882.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3204333415 + ... + 3204342425.

It is an arithmetic number, because the mean of its divisors is an integer number (98144573184).

Almost surely, 2^{28874288997120} is an apocalyptic number.

28874288997120 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 28874288997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56531274153984).

28874288997120 is an abundant number, since it is smaller than the sum of its proper divisors (84188259310848).

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

28874288997120 is a wasteful number, since it uses less digits than its factorization.

28874288997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 75.

The spelling of 28874288997120 in words is "twenty-eight trillion, eight hundred seventy-four billion, two hundred eighty-eight million, nine hundred ninety-seven thousand, one hundred twenty".