28976875200 has 1512 divisors, whose sum is σ = 134699258160. Its totient is φ = 6113802240.

The previous prime is 28976875183. The next prime is 28976875229. The reversal of 28976875200 is 257867982.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28976875200 is a `hidden beast` number, since 28 + 97 + 6 + 8 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2228990394 + ... + 2228990406.

Almost surely, 2^28976875200 is an apocalyptic number.

28976875200 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 28976875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67349629080).

28976875200 is an abundant number, since it is smaller than the sum of its proper divisors (105722382960).

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

28976875200 is an equidigital number, since it uses as much as digits as its factorization.

28976875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28976875200 in words is "twenty-eight billion, nine hundred seventy-six million, eight hundred seventy-five thousand, two hundred".