41624928 has 144 divisors (see below), whose sum is σ = 126309456. Its totient is φ = 13478400.

The previous prime is 41624899. The next prime is 41624941. The reversal of 41624928 is 82942614.

41624928 is a `hidden beast` number, since 4 + 1 + 624 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 a junction number, because it is equal to n+sod(n) for n = 41624892 and 41624901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412078 + ... + 412178.

It is an arithmetic number, because the mean of its divisors is an integer number (877149).

Almost surely, 2^41624928 is an apocalyptic number.

41624928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63154728).

41624928 is an abundant number, since it is smaller than the sum of its proper divisors (84684528).

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

41624928 is a wasteful number, since it uses less digits than its factorization.

41624928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41624928 is about 6451.7383703929. The cubic root of 41624928 is about 346.5648386000.

The spelling of 41624928 in words is "forty-one million, six hundred twenty-four thousand, nine hundred twenty-eight".