28996773120 has 432 divisors, whose sum is σ = 119704979520. Its totient is φ = 6627446784.

The previous prime is 28996773109. The next prime is 28996773137. The reversal of 28996773120 is 2137769982.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684879 + ... + 1702001.

It is an arithmetic number, because the mean of its divisors is an integer number (277094860).

Almost surely, 2^28996773120 is an apocalyptic number.

28996773120 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 28996773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852489760).

28996773120 is an abundant number, since it is smaller than the sum of its proper divisors (90708206400).

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

28996773120 is a wasteful number, since it uses less digits than its factorization.

28996773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17167 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 28996773120 in words is "twenty-eight billion, nine hundred ninety-six million, seven hundred seventy-three thousand, one hundred twenty".