28714296960 has 512 divisors, whose sum is σ = 105749683200. Its totient is φ = 7357464576.

The previous prime is 28714296943. The next prime is 28714296967. The reversal of 28714296960 is 6969241782.

28714296960 is a `hidden beast` number, since 287 + 14 + 296 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28714296897 and 28714296906.

It is not an unprimeable number, because it can be changed into a prime (28714296967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62017689 + ... + 62018151.

It is an arithmetic number, because the mean of its divisors is an integer number (206542350).

Almost surely, 2^28714296960 is an apocalyptic number.

28714296960 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 28714296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52874841600).

28714296960 is an abundant number, since it is smaller than the sum of its proper divisors (77035386240).

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

28714296960 is a wasteful number, since it uses less digits than its factorization.

28714296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28714296960 in words is "twenty-eight billion, seven hundred fourteen million, two hundred ninety-six thousand, nine hundred sixty".