28154880144 has 180 divisors, whose sum is σ = 82388828340. Its totient is φ = 8964587520.

The previous prime is 28154880139. The next prime is 28154880151. The reversal of 28154880144 is 44108845182.

28154880144 is a `hidden beast` number, since 28 + 1 + 5 + 488 + 0 + 144 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8941593600 + 19213286544 = 94560^2 + 138612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28154880144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145880112 + ... + 145880304.

It is an arithmetic number, because the mean of its divisors is an integer number (457715713).

Almost surely, 2^28154880144 is an apocalyptic number.

28154880144 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 28154880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41194414170).

28154880144 is an abundant number, since it is smaller than the sum of its proper divisors (54233948196).

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

28154880144 is a wasteful number, since it uses less digits than its factorization.

28154880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 28154880144 in words is "twenty-eight billion, one hundred fifty-four million, eight hundred eighty thousand, one hundred forty-four".