28809558385920 has 2520 divisors, whose sum is σ = 119448070108416. Its totient is φ = 6638929330176.

The previous prime is 28809558385919. The next prime is 28809558385961. The reversal of 28809558385920 is 2958385590882.

28809558385920 is a `hidden beast` number, since 28 + 8 + 0 + 9 + 5 + 5 + 8 + 3 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 612969327337 + ... + 612969327383.

Almost surely, 2^{28809558385920} is an apocalyptic number.

28809558385920 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 28809558385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724035054208).

28809558385920 is an abundant number, since it is smaller than the sum of its proper divisors (90638511722496).

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

28809558385920 is an frugal number, since it uses more digits than its factorization.

28809558385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 28809558385920 in words is "twenty-eight trillion, eight hundred nine billion, five hundred fifty-eight million, three hundred eighty-five thousand, nine hundred twenty".