91248288 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 29245440.

The previous prime is 91248281. The next prime is 91248301. The reversal of 91248288 is 88284219.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (91248281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 381673 + ... + 381911.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^91248288 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 91248288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

91248288 is an abundant number, since it is smaller than the sum of its proper divisors (157687392).

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

91248288 is a wasteful number, since it uses less digits than its factorization.

91248288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 91248288 is about 9552.3969766755. The cubic root of 91248288 is about 450.2028517543.

The spelling of 91248288 in words is "ninety-one million, two hundred forty-eight thousand, two hundred eighty-eight".