4100928 has 112 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 1198080.

The previous prime is 4100911. The next prime is 4100939. The reversal of 4100928 is 8290014.

It is a super-2 number, since 2×4100928² = 33635220922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4100898 and 4100907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77350 + ... + 77402.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^4100928 is an apocalyptic number.

4100928 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 4100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

4100928 is an abundant number, since it is smaller than the sum of its proper divisors (8188608).

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

4100928 is a wasteful number, since it uses less digits than its factorization.

4100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4100928 is about 2025.0748134328. The cubic root of 4100928 is about 160.0641409503.

The spelling of 4100928 in words is "four million, one hundred thousand, nine hundred twenty-eight".