28181848320 has 288 divisors, whose sum is σ = 100954304640. Its totient is φ = 7443947520.

The previous prime is 28181848297. The next prime is 28181848333. The reversal of 28181848320 is 2384818182.

It is a happy number.

28181848320 is a `hidden beast` number, since 281 + 8 + 1 + 8 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 3694110 + ... + 3701730.

It is an arithmetic number, because the mean of its divisors is an integer number (350535780).

Almost surely, 2^28181848320 is an apocalyptic number.

28181848320 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 28181848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477152320).

28181848320 is an abundant number, since it is smaller than the sum of its proper divisors (72772456320).

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

28181848320 is a wasteful number, since it uses less digits than its factorization.

28181848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28181848320 in words is "twenty-eight billion, one hundred eighty-one million, eight hundred forty-eight thousand, three hundred twenty".