8086652928 has 384 divisors, whose sum is σ = 25945920000. Its totient is φ = 2480357376.

The previous prime is 8086652911. The next prime is 8086652933. The reversal of 8086652928 is 8292566808.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×8086652928³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45176743 + ... + 45176921.

It is an arithmetic number, because the mean of its divisors is an integer number (67567500).

Almost surely, 2^8086652928 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 8086652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960000).

8086652928 is an abundant number, since it is smaller than the sum of its proper divisors (17859267072).

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

8086652928 is a wasteful number, since it uses less digits than its factorization.

8086652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 8086652928 is about 89925.8190287973. The cubic root of 8086652928 is about 2007.1951611202.

The spelling of 8086652928 in words is "eight billion, eighty-six million, six hundred fifty-two thousand, nine hundred twenty-eight".