2828035392 has 336 divisors, whose sum is σ = 9875154240. Its totient is φ = 706019328.

The previous prime is 2828035363. The next prime is 2828035417. The reversal of 2828035392 is 2935308282.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323168 + ... + 2324384.

It is an arithmetic number, because the mean of its divisors is an integer number (29390340).

Almost surely, 2^2828035392 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 2828035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937577120).

2828035392 is an abundant number, since it is smaller than the sum of its proper divisors (7047118848).

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

2828035392 is a wasteful number, since it uses less digits than its factorization.

2828035392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2828035392 is about 53179.2759634804. The cubic root of 2828035392 is about 1414.1482705677.

The spelling of 2828035392 in words is "two billion, eight hundred twenty-eight million, thirty-five thousand, three hundred ninety-two".