28964723760 has 480 divisors, whose sum is σ = 118195863552. Its totient is φ = 6205317120.

The previous prime is 28964723741. The next prime is 28964723779. The reversal of 28964723760 is 6732746982.

28964723760 is a `hidden beast` number, since 2 + 89 + 6 + 472 + 37 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (28964723741) and next prime (28964723779).

It is a junction number, because it is equal to n+sod(n) for n = 28964723697 and 28964723706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26645937 + ... + 26647023.

Almost surely, 2^28964723760 is an apocalyptic number.

28964723760 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 28964723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097931776).

28964723760 is an abundant number, since it is smaller than the sum of its proper divisors (89231139792).

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

28964723760 is a wasteful number, since it uses less digits than its factorization.

28964723760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 28964723760 in words is "twenty-eight billion, nine hundred sixty-four million, seven hundred twenty-three thousand, seven hundred sixty".