28229160960 has 2080 divisors, whose sum is σ = 143861743872. Its totient is φ = 5096079360.

The previous prime is 28229160937. The next prime is 28229160979. The reversal of 28229160960 is 6906192282.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1660538872 + ... + 1660538888.

Almost surely, 2^28229160960 is an apocalyptic number.

28229160960 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 28229160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71930871936).

28229160960 is an abundant number, since it is smaller than the sum of its proper divisors (115632582912).

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

28229160960 is a wasteful number, since it uses less digits than its factorization.

28229160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28229160960 in words is "twenty-eight billion, two hundred twenty-nine million, one hundred sixty thousand, nine hundred sixty".