4028400 has 120 divisors (see below), whose sum is σ = 14376560. Its totient is φ = 1071360.

The previous prime is 4028389. The next prime is 4028413. The reversal of 4028400 is 48204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10614 + ... + 10986.

Almost surely, 2^4028400 is an apocalyptic number.

4028400 is a gapful number since it is divisible by the number (40) 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 4028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188280).

4028400 is an abundant number, since it is smaller than the sum of its proper divisors (10348160).

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

4028400 is a wasteful number, since it uses less digits than its factorization.

4028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4028400 is about 2007.0874420413. The cubic root of 4028400 is about 159.1149044821.

The spelling of 4028400 in words is "four million, twenty-eight thousand, four hundred".