28886820480 has 512 divisors, whose sum is σ = 117880012800. Its totient is φ = 6548705280.

The previous prime is 28886820467. The next prime is 28886820499. The reversal of 28886820480 is 8402868882.

28886820480 is a `hidden beast` number, since 2 + 8 + 8 + 86 + 82 + 0 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15844849 + ... + 15846671.

It is an arithmetic number, because the mean of its divisors is an integer number (230234400).

Almost surely, 2^28886820480 is an apocalyptic number.

28886820480 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 28886820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58940006400).

28886820480 is an abundant number, since it is smaller than the sum of its proper divisors (88993192320).

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

28886820480 is a wasteful number, since it uses less digits than its factorization.

28886820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 28886820480 in words is "twenty-eight billion, eight hundred eighty-six million, eight hundred twenty thousand, four hundred eighty".