28386629280 has 384 divisors, whose sum is σ = 106077081600. Its totient is φ = 7068902400.

The previous prime is 28386629263. The next prime is 28386629347. The reversal of 28386629280 is 8292668382.

28386629280 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 6 + 629 + 2 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5825245 + ... + 5830115.

It is an arithmetic number, because the mean of its divisors is an integer number (276242400).

Almost surely, 2^28386629280 is an apocalyptic number.

28386629280 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 28386629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53038540800).

28386629280 is an abundant number, since it is smaller than the sum of its proper divisors (77690452320).

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

28386629280 is a wasteful number, since it uses less digits than its factorization.

28386629280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28386629280 in words is "twenty-eight billion, three hundred eighty-six million, six hundred twenty-nine thousand, two hundred eighty".