4028100 has 72 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 1034880.

The previous prime is 4028093. The next prime is 4028137. The reversal of 4028100 is 18204.

It is a super-2 number, since 2×4028100² = 32451179220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4028100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8469 + ... + 8931.

Almost surely, 2^4028100 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 4028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

4028100 is an abundant number, since it is smaller than the sum of its proper divisors (8054460).

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

4028100 is a wasteful number, since it uses less digits than its factorization.

4028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4028100 is about 2007.0127054904. The cubic root of 4028100 is about 159.1109545552.

The spelling of 4028100 in words is "four million, twenty-eight thousand, one hundred".