28514574144 has 168 divisors, whose sum is σ = 93950088960. Its totient is φ = 8099730432.

The previous prime is 28514574091. The next prime is 28514574157. The reversal of 28514574144 is 44147541582.

28514574144 is a `hidden beast` number, since 2 + 8 + 51 + 457 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×28514574144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28514574144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677097 + ... + 717975.

It is an arithmetic number, because the mean of its divisors is an integer number (559226720).

Almost surely, 2^28514574144 is an apocalyptic number.

28514574144 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 28514574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46975044480).

28514574144 is an abundant number, since it is smaller than the sum of its proper divisors (65435514816).

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

28514574144 is a wasteful number, since it uses less digits than its factorization.

28514574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41077 (or 41064 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The spelling of 28514574144 in words is "twenty-eight billion, five hundred fourteen million, five hundred seventy-four thousand, one hundred forty-four".