28770577920 has 480 divisors, whose sum is σ = 118110440448. Its totient is φ = 6575136768.

The previous prime is 28770577873. The next prime is 28770577921. The reversal of 28770577920 is 2977507782.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28770577921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4351257 + ... + 4357863.

Almost surely, 2^28770577920 is an apocalyptic number.

28770577920 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 28770577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59055220224).

28770577920 is an abundant number, since it is smaller than the sum of its proper divisors (89339862528).

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

28770577920 is an frugal number, since it uses more digits than its factorization.

28770577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 28770577920 in words is "twenty-eight billion, seven hundred seventy million, five hundred seventy-seven thousand, nine hundred twenty".