4102283328 has 504 divisors, whose sum is σ = 13938723456. Its totient is φ = 1057013760.

The previous prime is 4102283327. The next prime is 4102283359. The reversal of 4102283328 is 8233822014.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4102283321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87282601 + ... + 87282647.

Almost surely, 2^4102283328 is an apocalyptic number.

4102283328 is a gapful number since it is divisible by the number (48) 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 4102283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969361728).

4102283328 is an abundant number, since it is smaller than the sum of its proper divisors (9836440128).

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

4102283328 is a wasteful number, since it uses less digits than its factorization.

4102283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4102283328 is about 64049.0696887941. The cubic root of 4102283328 is about 1600.8177236755.

The spelling of 4102283328 in words is "four billion, one hundred two million, two hundred eighty-three thousand, three hundred twenty-eight".