952028000 has 288 divisors, whose sum is σ = 2948871744. Its totient is φ = 295680000.

The previous prime is 952027997. The next prime is 952028009. The reversal of 952028000 is 820259.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952028009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387860 + ... + 3388140.

It is an arithmetic number, because the mean of its divisors is an integer number (10239138).

Almost surely, 2^952028000 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 952028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474435872).

952028000 is an abundant number, since it is smaller than the sum of its proper divisors (1996843744).

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

952028000 is a wasteful number, since it uses less digits than its factorization.

952028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 952028000 is about 30854.9509803532. The cubic root of 952028000 is about 983.7465912771.

Adding to 952028000 its reverse (820259), we get a palindrome (952848259).

The spelling of 952028000 in words is "nine hundred fifty-two million, twenty-eight thousand".