28854342144 has 120 divisors (see below), whose sum is σ = 83370739452. Its totient is φ = 9607127040.

The previous prime is 28854342137. The next prime is 28854342149. The reversal of 28854342144 is 44124345882.

28854342144 is a `hidden beast` number, since 2 + 88 + 543 + 4 + 21 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25564172544 + 3290169600 = 159888^2 + 57360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28854342144.

It is not an unprimeable number, because it can be changed into a prime (28854342149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4701702 + ... + 4707834.

Almost surely, 2^28854342144 is an apocalyptic number.

28854342144 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 28854342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41685369726).

28854342144 is an abundant number, since it is smaller than the sum of its proper divisors (54516397308).

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

28854342144 is a wasteful number, since it uses less digits than its factorization.

28854342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7159 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 28854342144 in words is "twenty-eight billion, eight hundred fifty-four million, three hundred forty-two thousand, one hundred forty-four".