91228032 has 192 divisors, whose sum is σ = 311875200. Its totient is φ = 26002944.

The previous prime is 91228031. The next prime is 91228043. The reversal of 91228032 is 23082219.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 91227987 and 91228005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91228031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217519 + ... + 217937.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 2^91228032 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 91228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

91228032 is an abundant number, since it is smaller than the sum of its proper divisors (220647168).

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

91228032 is an equidigital number, since it uses as much as digits as its factorization.

91228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 91228032 is about 9551.3366603842. The cubic root of 91228032 is about 450.1695361198.

The spelling of 91228032 in words is "ninety-one million, two hundred twenty-eight thousand, thirty-two".