4167828 has 96 divisors (see below), whose sum is σ = 12768000. Its totient is φ = 1150848.

The previous prime is 4167827. The next prime is 4167829. The reversal of 4167828 is 8287614.

It is an interprime number because it is at equal distance from previous prime (4167827) and next prime (4167829).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4167792 and 4167801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27898 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (133000).

Almost surely, 2^4167828 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 4167828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384000).

4167828 is an abundant number, since it is smaller than the sum of its proper divisors (8600172).

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

4167828 is a wasteful number, since it uses less digits than its factorization.

4167828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4167828 is about 2041.5258999092. The cubic root of 4167828 is about 160.9298461123.

The spelling of 4167828 in words is "four million, one hundred sixty-seven thousand, eight hundred twenty-eight".