28418886144 has 480 divisors, whose sum is σ = 93148323840. Its totient is φ = 8266752000.

The previous prime is 28418886121. The next prime is 28418886151. The reversal of 28418886144 is 44168881482.

28418886144 is a `hidden beast` number, since 2 + 8 + 4 + 18 + 8 + 8 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 188204469 + ... + 188204619.

It is an arithmetic number, because the mean of its divisors is an integer number (194059008).

Almost surely, 2^28418886144 is an apocalyptic number.

28418886144 is a gapful number since it is divisible by the number (24) 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 28418886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574161920).

28418886144 is an abundant number, since it is smaller than the sum of its proper divisors (64729437696).

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

28418886144 is a wasteful number, since it uses less digits than its factorization.

28418886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

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

The spelling of 28418886144 in words is "twenty-eight billion, four hundred eighteen million, eight hundred eighty-six thousand, one hundred forty-four".