28929204864 has 384 divisors, whose sum is σ = 100117080000. Its totient is φ = 8199346176.

The previous prime is 28929204853. The next prime is 28929204869. The reversal of 28929204864 is 46840292982.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28929204864.

It is not an unprimeable number, because it can be changed into a prime (28929204869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23538202 + ... + 23539430.

Almost surely, 2^28929204864 is an apocalyptic number.

28929204864 is a gapful number since it is divisible by the number (24) 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 28929204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50058540000).

28929204864 is an abundant number, since it is smaller than the sum of its proper divisors (71187875136).

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

28929204864 is a wasteful number, since it uses less digits than its factorization.

28929204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28929204864 in words is "twenty-eight billion, nine hundred twenty-nine million, two hundred four thousand, eight hundred sixty-four".