28677148920 has 384 divisors, whose sum is σ = 112521277440. Its totient is φ = 6195087360.

The previous prime is 28677148891. The next prime is 28677148933. The reversal of 28677148920 is 2984177682.

It is a happy number.

It is a super-3 number, since 3×28677148920³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3354892 + ... + 3363428.

It is an arithmetic number, because the mean of its divisors is an integer number (293024160).

Almost surely, 2^28677148920 is an apocalyptic number.

28677148920 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 28677148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260638720).

28677148920 is an abundant number, since it is smaller than the sum of its proper divisors (83844128520).

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

28677148920 is a wasteful number, since it uses less digits than its factorization.

28677148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 28677148920 in words is "twenty-eight billion, six hundred seventy-seven million, one hundred forty-eight thousand, nine hundred twenty".