945966528 has 336 divisors, whose sum is σ = 3152749600. Its totient is φ = 268738560.

The previous prime is 945966487. The next prime is 945966551. The reversal of 945966528 is 825669549.

It is a happy number.

945966528 is a `hidden beast` number, since 9 + 4 + 59 + 66 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8678538 + ... + 8678646.

Almost surely, 2^945966528 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 945966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576374800).

945966528 is an abundant number, since it is smaller than the sum of its proper divisors (2206783072).

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

945966528 is a wasteful number, since it uses less digits than its factorization.

945966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 945966528 is about 30756.5688593510. The cubic root of 945966528 is about 981.6543374929.

It can be divided in two parts, 94596 and 6528, that added together give a square (101124 = 318²).

The spelling of 945966528 in words is "nine hundred forty-five million, nine hundred sixty-six thousand, five hundred twenty-eight".