28476478800 has 960 divisors, whose sum is σ = 127859435520. Its totient is φ = 5896281600.

The previous prime is 28476478787. The next prime is 28476478873. The reversal of 28476478800 is 887467482.

It is a happy number.

28476478800 is a `hidden beast` number, since 28 + 4 + 76 + 478 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100623459 + ... + 100623741.

It is an arithmetic number, because the mean of its divisors is an integer number (133186912).

Almost surely, 2^28476478800 is an apocalyptic number.

28476478800 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 28476478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63929717760).

28476478800 is an abundant number, since it is smaller than the sum of its proper divisors (99382956720).

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

28476478800 is a wasteful number, since it uses less digits than its factorization.

28476478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 28476478800 in words is "twenty-eight billion, four hundred seventy-six million, four hundred seventy-eight thousand, eight hundred".