1292861328 has 160 divisors (see below), whose sum is σ = 3743010432. Its totient is φ = 381235200.

The previous prime is 1292861321. The next prime is 1292861341. The reversal of 1292861328 is 8231682921.

It is a self number, because there is not a number n which added to its sum of digits gives 1292861328.

It is not an unprimeable number, because it can be changed into a prime (1292861321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4412350 + ... + 4412642.

Almost surely, 2^1292861328 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 1292861328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871505216).

1292861328 is an abundant number, since it is smaller than the sum of its proper divisors (2450149104).

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

1292861328 is a wasteful number, since it uses less digits than its factorization.

1292861328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1292861328 is about 35956.3809079835. The cubic root of 1292861328 is about 1089.3914983106.

The spelling of 1292861328 in words is "one billion, two hundred ninety-two million, eight hundred sixty-one thousand, three hundred twenty-eight".