280132864 has 72 divisors (see below), whose sum is σ = 629879040. Its totient is φ = 123187200.

The previous prime is 280132861. The next prime is 280132873. The reversal of 280132864 is 468231082.

It is a super-3 number, since 3×280132864³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280132861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85692 + ... + 88900.

It is an arithmetic number, because the mean of its divisors is an integer number (8748320).

Almost surely, 2^280132864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314939520).

280132864 is an abundant number, since it is smaller than the sum of its proper divisors (349746176).

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

280132864 is a wasteful number, since it uses less digits than its factorization.

280132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 280132864 is about 16737.1701311781. The cubic root of 280132864 is about 654.3167235210.

The spelling of 280132864 in words is "two hundred eighty million, one hundred thirty-two thousand, eight hundred sixty-four".