948528000 has 384 divisors, whose sum is σ = 3897167040. Its totient is φ = 216576000.

The previous prime is 948527999. The next prime is 948528019. The reversal of 948528000 is 825849.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007530 + ... + 1008470.

Almost surely, 2^948528000 is an apocalyptic number.

948528000 is a gapful number since it is divisible by the number (90) 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 948528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948583520).

948528000 is an abundant number, since it is smaller than the sum of its proper divisors (2948639040).

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

948528000 is a wasteful number, since it uses less digits than its factorization.

948528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 948528000 is about 30798.1817645133. The cubic root of 948528000 is about 982.5395745767.

The spelling of 948528000 in words is "nine hundred forty-eight million, five hundred twenty-eight thousand".