28476270900000 has 4608 divisors, whose sum is σ = 139473073152000. Its totient is φ = 5542732800000.

The previous prime is 28476270899971. The next prime is 28476270900013. The reversal of 28476270900000 is 907267482.

28476270900000 is a `hidden beast` number, since 28 + 476 + 2 + 70 + 90 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 319958099956 + ... + 319958100044.

It is an arithmetic number, because the mean of its divisors is an integer number (30267594000).

Almost surely, 2^{28476270900000} is an apocalyptic number.

28476270900000 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 28476270900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69736536576000).

28476270900000 is an abundant number, since it is smaller than the sum of its proper divisors (110996802252000).

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

28476270900000 is an frugal number, since it uses more digits than its factorization.

28476270900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 28476270900000 in words is "twenty-eight trillion, four hundred seventy-six billion, two hundred seventy million, nine hundred thousand".