41248728 has 48 divisors (see below), whose sum is σ = 113302800. Its totient is φ = 13554240.

The previous prime is 41248721. The next prime is 41248733. The reversal of 41248728 is 82784214.

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 = 41248692 and 41248701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41248721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (2360475).

Almost surely, 2^41248728 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 41248728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56651400).

41248728 is an abundant number, since it is smaller than the sum of its proper divisors (72054072).

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

41248728 is a wasteful number, since it uses less digits than its factorization.

41248728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 8145 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 41248728 is about 6422.5172635035. The cubic root of 41248728 is about 345.5176099253.

The spelling of 41248728 in words is "forty-one million, two hundred forty-eight thousand, seven hundred twenty-eight".