28261629270 has 256 divisors, whose sum is σ = 90118656000. Its totient is φ = 6173912448.

The previous prime is 28261629257. The next prime is 28261629301. The reversal of 28261629270 is 7292616282.

28261629270 is a `hidden beast` number, since 2 + 8 + 2 + 616 + 2 + 9 + 27 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22995016 + ... + 22996244.

It is an arithmetic number, because the mean of its divisors is an integer number (352026000).

Almost surely, 2^28261629270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28261629270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45059328000).

28261629270 is an abundant number, since it is smaller than the sum of its proper divisors (61857026730).

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

28261629270 is a wasteful number, since it uses less digits than its factorization.

28261629270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28261629270 in words is "twenty-eight billion, two hundred sixty-one million, six hundred twenty-nine thousand, two hundred seventy".