28282148640 has 72 divisors (see below), whose sum is σ = 96512837148. Its totient is φ = 7541905920.

The previous prime is 28282148627. The next prime is 28282148659. The reversal of 28282148640 is 4684128282.

It can be written as a sum of positive squares in 2 ways, for example, as 27970555536 + 311593104 = 167244^2 + 17652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 9818751 + ... + 9821630.

Almost surely, 2^28282148640 is an apocalyptic number.

28282148640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28282148640 is an abundant number, since it is smaller than the sum of its proper divisors (68230688508).

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

28282148640 is a wasteful number, since it uses less digits than its factorization.

28282148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19640402 (or 19640391 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28282148640 in words is "twenty-eight billion, two hundred eighty-two million, one hundred forty-eight thousand, six hundred forty".