28385124480 has 384 divisors, whose sum is σ = 103587120000. Its totient is φ = 7142473728.

The previous prime is 28385124463. The next prime is 28385124491. The reversal of 28385124480 is 8442158382.

28385124480 is a `hidden beast` number, since 2 + 83 + 85 + 12 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47387221 + ... + 47387819.

It is an arithmetic number, because the mean of its divisors is an integer number (269758125).

Almost surely, 2^28385124480 is an apocalyptic number.

28385124480 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 28385124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560000).

28385124480 is an abundant number, since it is smaller than the sum of its proper divisors (75201995520).

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

28385124480 is a wasteful number, since it uses less digits than its factorization.

28385124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28385124480 in words is "twenty-eight billion, three hundred eighty-five million, one hundred twenty-four thousand, four hundred eighty".