41128992 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13582080.

The previous prime is 41128987. The next prime is 41128993. The reversal of 41128992 is 29982114.

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41128993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156253 + ... + 156515.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^41128992 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 41128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

41128992 is an abundant number, since it is smaller than the sum of its proper divisors (79951968).

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

41128992 is a wasteful number, since it uses less digits than its factorization.

41128992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 41128992 is about 6413.1889103628. The cubic root of 41128992 is about 345.1829653319.

It can be divided in two parts, 411 and 28992, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 41128992 in words is "forty-one million, one hundred twenty-eight thousand, nine hundred ninety-two".