2328028416 has 324 divisors, whose sum is σ = 8274281652. Its totient is φ = 625508352.

The previous prime is 2328028411. The next prime is 2328028441. The reversal of 2328028416 is 6148208232.

2328028416 is a `hidden beast` number, since 232 + 8 + 0 + 2 + 8 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 1493049600 = 28896^2 + 38640^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328028411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1918626 + ... + 1919838.

Almost surely, 2^2328028416 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 2328028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137140826).

2328028416 is an abundant number, since it is smaller than the sum of its proper divisors (5946253236).

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

2328028416 is a wasteful number, since it uses less digits than its factorization.

2328028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2328028416 is about 48249.6467966347. The cubic root of 2328028416 is about 1325.3464699264.

The spelling of 2328028416 in words is "two billion, three hundred twenty-eight million, twenty-eight thousand, four hundred sixteen".