1296577828 has 144 divisors (see below), whose sum is σ = 3094867440. Its totient is φ = 469131264.

The previous prime is 1296577817. The next prime is 1296577829. The reversal of 1296577828 is 8287756921.

It can be written as a sum of positive squares in 8 ways, for example, as 192876544 + 1103701284 = 13888^2 + 33222^2 .

It is a super-2 number, since 2×1296577828² = 3362228128122395168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296577829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602288 + ... + 1603096.

It is an arithmetic number, because the mean of its divisors is an integer number (21492135).

Almost surely, 2^1296577828 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 1296577828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547433720).

1296577828 is an abundant number, since it is smaller than the sum of its proper divisors (1798289612).

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

1296577828 is a wasteful number, since it uses less digits than its factorization.

1296577828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The square root of 1296577828 is about 36008.0244945484. The cubic root of 1296577828 is about 1090.4343660619.

The spelling of 1296577828 in words is "one billion, two hundred ninety-six million, five hundred seventy-seven thousand, eight hundred twenty-eight".