1292282880 has 528 divisors, whose sum is σ = 5141343456. Its totient is φ = 275251200.

The previous prime is 1292282851. The next prime is 1292282903. The reversal of 1292282880 is 882822921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12794830 + ... + 12794930.

Almost surely, 2^1292282880 is an apocalyptic number.

1292282880 is a gapful number since it is divisible by the number (10) 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 1292282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570671728).

1292282880 is an abundant number, since it is smaller than the sum of its proper divisors (3849060576).

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

1292282880 is a wasteful number, since it uses less digits than its factorization.

1292282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1292282880 is about 35948.3362619190. The cubic root of 1292282880 is about 1089.2290033536.

The spelling of 1292282880 in words is "one billion, two hundred ninety-two million, two hundred eighty-two thousand, eight hundred eighty".