1249828992 has 96 divisors (see below), whose sum is σ = 3607051500. Its totient is φ = 415389696.

The previous prime is 1249828991. The next prime is 1249828999. The reversal of 1249828992 is 2998289421.

It can be written as a sum of positive squares in 2 ways, for example, as 1242985536 + 6843456 = 35256^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1249828991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446734 + ... + 449522.

Almost surely, 2^1249828992 is an apocalyptic number.

1249828992 is a gapful number since it is divisible by the number (12) 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 1249828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803525750).

1249828992 is an abundant number, since it is smaller than the sum of its proper divisors (2357222508).

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

1249828992 is a wasteful number, since it uses less digits than its factorization.

1249828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3183 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1249828992 is about 35352.9205582792. The cubic root of 1249828992 is about 1077.1682193666.

The spelling of 1249828992 in words is "one billion, two hundred forty-nine million, eight hundred twenty-eight thousand, nine hundred ninety-two".