8132933952 has 784 divisors, whose sum is σ = 30223041408. Its totient is φ = 2134978560.

The previous prime is 8132933951. The next prime is 8132933953. The reversal of 8132933952 is 2593392318.

It is an interprime number because it is at equal distance from previous prime (8132933951) and next prime (8132933953).

It is a super-2 number, since 2×8132933952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8132933898 and 8132933907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132933951) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 153451558 + ... + 153451610.

Almost surely, 2^8132933952 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 8132933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111520704).

8132933952 is an abundant number, since it is smaller than the sum of its proper divisors (22090107456).

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

8132933952 is a wasteful number, since it uses less digits than its factorization.

8132933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 8132933952 is about 90182.7807954490. The cubic root of 8132933952 is about 2011.0170304210.

The spelling of 8132933952 in words is "eight billion, one hundred thirty-two million, nine hundred thirty-three thousand, nine hundred fifty-two".