28357864800 has 144 divisors (see below), whose sum is σ = 97163156160. Its totient is φ = 7164080640.

The previous prime is 28357864793. The next prime is 28357864807. The reversal of 28357864800 is 846875382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28357864793) and next prime (28357864807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28357864807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265342 + ... + 356541.

It is an arithmetic number, because the mean of its divisors is an integer number (674744140).

Almost surely, 2^28357864800 is an apocalyptic number.

28357864800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28357864800 is an abundant number, since it is smaller than the sum of its proper divisors (68805291360).

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

28357864800 is a wasteful number, since it uses less digits than its factorization.

28357864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621925 (or 621912 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 28357864800 in words is "twenty-eight billion, three hundred fifty-seven million, eight hundred sixty-four thousand, eight hundred".