28695306240 has 588 divisors, whose sum is σ = 106687636002. Its totient is φ = 7405240320.

The previous prime is 28695306239. The next prime is 28695306317. The reversal of 28695306240 is 4260359682.

It can be written as a sum of positive squares in only one way, i.e., 25825775616 + 2869530624 = 160704^2 + 53568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 925655025 + ... + 925655055.

Almost surely, 2^28695306240 is an apocalyptic number.

28695306240 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 28695306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343818001).

28695306240 is an abundant number, since it is smaller than the sum of its proper divisors (77992329762).

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

28695306240 is an frugal number, since it uses more digits than its factorization.

28695306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28695306240 in words is "twenty-eight billion, six hundred ninety-five million, three hundred six thousand, two hundred forty".