28500028950120 has 768 divisors, whose sum is σ = 110276220096000. Its totient is φ = 5836921896960.

The previous prime is 28500028950103. The next prime is 28500028950131. The reversal of 28500028950120 is 2105982000582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 623651112 + ... + 623696808.

It is an arithmetic number, because the mean of its divisors is an integer number (143588828250).

Almost surely, 2^{28500028950120} is an apocalyptic number.

28500028950120 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 28500028950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55138110048000).

28500028950120 is an abundant number, since it is smaller than the sum of its proper divisors (81776191145880).

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

28500028950120 is a wasteful number, since it uses less digits than its factorization.

28500028950120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45978 (or 45967 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 28500028950120 in words is "twenty-eight trillion, five hundred billion, twenty-eight million, nine hundred fifty thousand, one hundred twenty".