4028929632 has 960 divisors, whose sum is σ = 16392499200. Its totient is φ = 940584960.

The previous prime is 4028929621. The next prime is 4028929669. The reversal of 4028929632 is 2369298204.

4028929632 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 9 + 2 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129965457 + ... + 129965487.

It is an arithmetic number, because the mean of its divisors is an integer number (17075520).

Almost surely, 2^4028929632 is an apocalyptic number.

4028929632 is a gapful number since it is divisible by the number (42) 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 4028929632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196249600).

4028929632 is an abundant number, since it is smaller than the sum of its proper divisors (12363569568).

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

4028929632 is a wasteful number, since it uses less digits than its factorization.

4028929632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4028929632 is about 63473.8499856437. The cubic root of 4028929632 is about 1591.2187736229.

The spelling of 4028929632 in words is "four billion, twenty-eight million, nine hundred twenty-nine thousand, six hundred thirty-two".