28929321600 has 384 divisors, whose sum is σ = 101929726080. Its totient is φ = 7186022400.

The previous prime is 28929321599. The next prime is 28929321643. The reversal of 28929321600 is 612392982.

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

It is a super-3 number, since 3×28929321600³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16808740 + ... + 16810460.

It is an arithmetic number, because the mean of its divisors is an integer number (265441995).

Almost surely, 2^28929321600 is an apocalyptic number.

28929321600 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 28929321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50964863040).

28929321600 is an abundant number, since it is smaller than the sum of its proper divisors (73000404480).

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

28929321600 is a wasteful number, since it uses less digits than its factorization.

28929321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 28929321600 in words is "twenty-eight billion, nine hundred twenty-nine million, three hundred twenty-one thousand, six hundred".