1152826752 has 256 divisors, whose sum is σ = 3860398080. Its totient is φ = 296110080.

The previous prime is 1152826751. The next prime is 1152826771. The reversal of 1152826752 is 2576282511.

It is a self number, because there is not a number n which added to its sum of digits gives 1152826752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152826751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754983 + ... + 3755289.

It is an arithmetic number, because the mean of its divisors is an integer number (15079680).

Almost surely, 2^1152826752 is an apocalyptic number.

1152826752 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 1152826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930199040).

1152826752 is an abundant number, since it is smaller than the sum of its proper divisors (2707571328).

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

1152826752 is a wasteful number, since it uses less digits than its factorization.

1152826752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 1152826752 is about 33953.3025197844. The cubic root of 1152826752 is about 1048.5472735484.

The spelling of 1152826752 in words is "one billion, one hundred fifty-two million, eight hundred twenty-six thousand, seven hundred fifty-two".