28278694080 has 1120 divisors, whose sum is σ = 130528527360. Its totient is φ = 5643509760.

The previous prime is 28278694079. The next prime is 28278694091. The reversal of 28278694080 is 8049687282.

It is a tau number, because it is divible by the number of its divisors (1120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815365 + ... + 44815995.

It is an arithmetic number, because the mean of its divisors is an integer number (116543328).

Almost surely, 2^28278694080 is an apocalyptic number.

28278694080 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 28278694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65264263680).

28278694080 is an abundant number, since it is smaller than the sum of its proper divisors (102249833280).

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

28278694080 is a wasteful number, since it uses less digits than its factorization.

28278694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28278694080 in words is "twenty-eight billion, two hundred seventy-eight million, six hundred ninety-four thousand, eighty".