28298977920 has 192 divisors, whose sum is σ = 103468496040. Its totient is φ = 7102464000.

The previous prime is 28298977909. The next prime is 28298977939. The reversal of 28298977920 is 2977989282.

It can be written as a sum of positive squares in 4 ways, for example, as 25756398144 + 2542579776 = 160488^2 + 50424^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46581 + ... + 242420.

Almost surely, 2^28298977920 is an apocalyptic number.

28298977920 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 28298977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51734248020).

28298977920 is an abundant number, since it is smaller than the sum of its proper divisors (75169518120).

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

28298977920 is a wasteful number, since it uses less digits than its factorization.

28298977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289043 (or 289028 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 28298977920 in words is "twenty-eight billion, two hundred ninety-eight million, nine hundred seventy-seven thousand, nine hundred twenty".