28810047651840 has 2880 divisors, whose sum is σ = 131579284636800. Its totient is φ = 5992989327360.

The previous prime is 28810047651839. The next prime is 28810047651863. The reversal of 28810047651840 is 4815674001882.

28810047651840 is a `hidden beast` number, since 2 + 8 + 8 + 10 + 0 + 4 + 76 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 143 ways as a sum of consecutive naturals, for example, 405775319005 + ... + 405775319075.

It is an arithmetic number, because the mean of its divisors is an integer number (45687251610).

Almost surely, 2^{28810047651840} is an apocalyptic number.

28810047651840 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 28810047651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65789642318400).

28810047651840 is an abundant number, since it is smaller than the sum of its proper divisors (102769236984960).

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

28810047651840 is an frugal number, since it uses more digits than its factorization.

28810047651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 28810047651840 in words is "twenty-eight trillion, eight hundred ten billion, forty-seven million, six hundred fifty-one thousand, eight hundred forty".