3872428 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1512000.

The previous prime is 3872423. The next prime is 3872459. The reversal of 3872428 is 8242783.

It is a junction number, because it is equal to n+sod(n) for n = 3872393 and 3872402.

It is not an unprimeable number, because it can be changed into a prime (3872423) 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, 15303 + ... + 15553.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^3872428 is an apocalyptic number.

3872428 is a gapful number since it is divisible by the number (38) 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 3872428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3872428 is an abundant number, since it is smaller than the sum of its proper divisors (4594772).

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

3872428 is a wasteful number, since it uses less digits than its factorization.

3872428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 3872428 is about 1967.8485714099. The cubic root of 3872428 is about 157.0342738269.

The spelling of 3872428 in words is "three million, eight hundred seventy-two thousand, four hundred twenty-eight".