3029083728 has 160 divisors (see below), whose sum is σ = 8742297600. Its totient is φ = 896064000.

The previous prime is 3029083711. The next prime is 3029083741. The reversal of 3029083728 is 8273809203.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3029083728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4212553 + ... + 4213271.

It is an arithmetic number, because the mean of its divisors is an integer number (54639360).

Almost surely, 2^3029083728 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 3029083728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371148800).

3029083728 is an abundant number, since it is smaller than the sum of its proper divisors (5713213872).

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

3029083728 is a wasteful number, since it uses less digits than its factorization.

3029083728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3029083728 is about 55037.1122788978. The cubic root of 3029083728 is about 1446.8952558670.

The spelling of 3029083728 in words is "three billion, twenty-nine million, eighty-three thousand, seven hundred twenty-eight".