8270990728 has 64 divisors (see below), whose sum is σ = 20822094720. Its totient is φ = 2974579200.

The previous prime is 8270990713. The next prime is 8270990729.

8270990728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (8270990729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508413 + ... + 524428.

It is an arithmetic number, because the mean of its divisors is an integer number (325345230).

Almost surely, 2^8270990728 is an apocalyptic number.

8270990728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8270990728 is an abundant number, since it is smaller than the sum of its proper divisors (12551103992).

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

8270990728 is a wasteful number, since it uses less digits than its factorization.

8270990728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032878 (or 1032874 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 8270990728 is about 90944.9873714874. The cubic root of 8270990728 is about 2022.3322674343.

The spelling of 8270990728 in words is "eight billion, two hundred seventy million, nine hundred ninety thousand, seven hundred twenty-eight".