8282153200 has 60 divisors (see below), whose sum is σ = 20945148760. Its totient is φ = 3138497280.

The previous prime is 8282153147. The next prime is 8282153203. The reversal of 8282153200 is 23512828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282153203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537279 + ... + 552478.

Almost surely, 2^8282153200 is an apocalyptic number.

8282153200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8282153200 is an abundant number, since it is smaller than the sum of its proper divisors (12662995560).

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

8282153200 is a wasteful number, since it uses less digits than its factorization.

8282153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089794 (or 1089783 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8282153200 is about 91006.3360431569. The cubic root of 8282153200 is about 2023.2416336888.

The spelling of 8282153200 in words is "eight billion, two hundred eighty-two million, one hundred fifty-three thousand, two hundred".