91271628 has 72 divisors (see below), whose sum is σ = 269837568. Its totient is φ = 25468128.

The previous prime is 91271597. The next prime is 91271629. The reversal of 91271628 is 82617219.

91271628 is a `hidden beast` number, since 9 + 1 + 27 + 1 + 628 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 91271592 and 91271601.

It is not an unprimeable number, because it can be changed into a prime (91271629) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6625 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (3747744).

Almost surely, 2^91271628 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 91271628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134918784).

91271628 is an abundant number, since it is smaller than the sum of its proper divisors (178565940).

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

91271628 is a wasteful number, since it uses less digits than its factorization.

91271628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8478 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 91271628 is about 9553.6185814591. The cubic root of 91271628 is about 450.2412336206.

The spelling of 91271628 in words is "ninety-one million, two hundred seventy-one thousand, six hundred twenty-eight".