8985629952 has 324 divisors, whose sum is σ = 28709239104. Its totient is φ = 2700472320.

The previous prime is 8985629941. The next prime is 8985629957. The reversal of 8985629952 is 2599265898.

It is a self number, because there is not a number n which added to its sum of digits gives 8985629952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8985629957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18300427 + ... + 18300917.

Almost surely, 2^8985629952 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 8985629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354619552).

8985629952 is an abundant number, since it is smaller than the sum of its proper divisors (19723609152).

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

8985629952 is a wasteful number, since it uses less digits than its factorization.

8985629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 556 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 8985629952 is about 94792.5627462408. The cubic root of 8985629952 is about 2078.9761627865.

The spelling of 8985629952 in words is "eight billion, nine hundred eighty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".