4195715328 has 288 divisors, whose sum is σ = 15017022720. Its totient is φ = 1128038400.

The previous prime is 4195715327. The next prime is 4195715357. The reversal of 4195715328 is 8235175914.

4195715328 is a `hidden beast` number, since 4 + 1 + 9 + 571 + 53 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4195715328² = 35208054227228295168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4195715327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819978 + ... + 825078.

It is an arithmetic number, because the mean of its divisors is an integer number (52142440).

Almost surely, 2^4195715328 is an apocalyptic number.

4195715328 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 4195715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508511360).

4195715328 is an abundant number, since it is smaller than the sum of its proper divisors (10821307392).

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

4195715328 is a wasteful number, since it uses less digits than its factorization.

4195715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5130 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 4195715328 is about 64774.3415867734. The cubic root of 4195715328 is about 1612.8798075587.

The spelling of 4195715328 in words is "four billion, one hundred ninety-five million, seven hundred fifteen thousand, three hundred twenty-eight".