2906038828 has 192 divisors, whose sum is σ = 7008583680. Its totient is φ = 1020211200.

The previous prime is 2906038819. The next prime is 2906038829. The reversal of 2906038828 is 8288306092.

It is a happy number.

It is a super-2 number, since 2×2906038828² = 16890123339687227168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2906038829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15057100 + ... + 15057292.

It is an arithmetic number, because the mean of its divisors is an integer number (36503040).

Almost surely, 2^2906038828 is an apocalyptic number.

2906038828 is a gapful number since it is divisible by the number (28) 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 2906038828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504291840).

2906038828 is an abundant number, since it is smaller than the sum of its proper divisors (4102544852).

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

2906038828 is a wasteful number, since it uses less digits than its factorization.

2906038828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 2906038828 is about 53907.6880231382. The cubic root of 2906038828 is about 1427.0323033152.

The spelling of 2906038828 in words is "two billion, nine hundred six million, thirty-eight thousand, eight hundred twenty-eight".