28504912128 has 288 divisors, whose sum is σ = 94870379520. Its totient is φ = 7381524480.

The previous prime is 28504912123. The next prime is 28504912157. The reversal of 28504912128 is 82121940582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28504912128.

It is not an unprimeable number, because it can be changed into a prime (28504912123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30099751 + ... + 30100697.

It is an arithmetic number, because the mean of its divisors is an integer number (329411040).

Almost surely, 2^28504912128 is an apocalyptic number.

28504912128 is a gapful number since it is divisible by the number (28) 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 28504912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47435189760).

28504912128 is an abundant number, since it is smaller than the sum of its proper divisors (66365467392).

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

28504912128 is a wasteful number, since it uses less digits than its factorization.

28504912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 28504912128 in words is "twenty-eight billion, five hundred four million, nine hundred twelve thousand, one hundred twenty-eight".