91328952 has 192 divisors, whose sum is σ = 284601600. Its totient is φ = 24161280.

The previous prime is 91328927. The next prime is 91328999. The reversal of 91328952 is 25982319.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 91328952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026124 + ... + 1026212.

It is an arithmetic number, because the mean of its divisors is an integer number (1482300).

Almost surely, 2^91328952 is an apocalyptic number.

91328952 is a gapful number since it is divisible by the number (92) 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 91328952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142300800).

91328952 is an abundant number, since it is smaller than the sum of its proper divisors (193272648).

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

91328952 is a wasteful number, since it uses less digits than its factorization.

91328952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 91328952 is about 9556.6182303156. The cubic root of 91328952 is about 450.3354733006.

The spelling of 91328952 in words is "ninety-one million, three hundred twenty-eight thousand, nine hundred fifty-two".