952528896 has 364 divisors, whose sum is σ = 3222994680. Its totient is φ = 278691840.

The previous prime is 952528861. The next prime is 952528897. The reversal of 952528896 is 698825259.

952528896 is a `hidden beast` number, since 9 + 525 + 28 + 8 + 96 = 666.

It is a super-2 number, since 2×952528896² = 1814622595429957632, which contains 22 as substring.

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

Its product of digits (3110400) is a multiple of the sum of its prime divisors (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952528897) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32845810 + ... + 32845838.

Almost surely, 2^952528896 is an apocalyptic number.

952528896 is a gapful number since it is divisible by the number (96) 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 952528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611497340).

952528896 is an abundant number, since it is smaller than the sum of its proper divisors (2270465784).

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

952528896 is an equidigital number, since it uses as much as digits as its factorization.

952528896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 952528896 is about 30863.0668599217. The cubic root of 952528896 is about 983.9190891235.

The spelling of 952528896 in words is "nine hundred fifty-two million, five hundred twenty-eight thousand, eight hundred ninety-six".