4002828192 has 336 divisors, whose sum is σ = 13584503520. Its totient is φ = 1147737600.

The previous prime is 4002828191. The next prime is 4002828209. The reversal of 4002828192 is 2918282004.

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

It is not an unprimeable number, because it can be changed into a prime (4002828191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4875142 + ... + 4875962.

It is an arithmetic number, because the mean of its divisors is an integer number (40430070).

Almost surely, 2^4002828192 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 4002828192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792251760).

4002828192 is an abundant number, since it is smaller than the sum of its proper divisors (9581675328).

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

4002828192 is a wasteful number, since it uses less digits than its factorization.

4002828192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4002828192 is about 63267.9080735249. The cubic root of 4002828192 is about 1587.7750867415.

The spelling of 4002828192 in words is "four billion, two million, eight hundred twenty-eight thousand, one hundred ninety-two".