28760659200 has 1728 divisors, whose sum is σ = 136257945600. Its totient is φ = 5772902400.

The previous prime is 28760659199. The next prime is 28760659217. The reversal of 28760659200 is 295606782.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487468771 + ... + 487468829.

Almost surely, 2^28760659200 is an apocalyptic number.

28760659200 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 28760659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68128972800).

28760659200 is an abundant number, since it is smaller than the sum of its proper divisors (107497286400).

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

28760659200 is a wasteful number, since it uses less digits than its factorization.

28760659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28760659200 in words is "twenty-eight billion, seven hundred sixty million, six hundred fifty-nine thousand, two hundred".