28312698960 has 1280 divisors, whose sum is σ = 131091609600. Its totient is φ = 5446434816.

The previous prime is 28312698929. The next prime is 28312698971. The reversal of 28312698960 is 6989621382.

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 = 28312698897 and 28312698906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123636126 + ... + 123636354.

It is an arithmetic number, because the mean of its divisors is an integer number (102415320).

Almost surely, 2^28312698960 is an apocalyptic number.

28312698960 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 28312698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545804800).

28312698960 is an abundant number, since it is smaller than the sum of its proper divisors (102778910640).

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

28312698960 is a wasteful number, since it uses less digits than its factorization.

28312698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 28312698960 in words is "twenty-eight billion, three hundred twelve million, six hundred ninety-eight thousand, nine hundred sixty".