4128408 has 80 divisors (see below), whose sum is σ = 12109680. Its totient is φ = 1311552.

The previous prime is 4128401. The next prime is 4128409. The reversal of 4128408 is 8048214.

It is a super-2 number, since 2×4128408² = 34087505228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14766 + ... + 15042.

It is an arithmetic number, because the mean of its divisors is an integer number (151371).

Almost surely, 2^4128408 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 4128408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054840).

4128408 is an abundant number, since it is smaller than the sum of its proper divisors (7981272).

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

4128408 is a wasteful number, since it uses less digits than its factorization.

4128408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4128408 is about 2031.8484195432. The cubic root of 4128408 is about 160.4208711179.

The spelling of 4128408 in words is "four million, one hundred twenty-eight thousand, four hundred eight".