2896201728 has 144 divisors (see below), whose sum is σ = 9560154240. Its totient is φ = 827449344.

The previous prime is 2896201727. The next prime is 2896201729. The reversal of 2896201728 is 8271026982.

2896201728 is a `hidden beast` number, since 2 + 8 + 9 + 620 + 17 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2896201727) and next prime (2896201729).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2896201723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117801 + ... + 140247.

It is an arithmetic number, because the mean of its divisors is an integer number (66389960).

Almost surely, 2^2896201728 is an apocalyptic number.

2896201728 is a gapful number since it is divisible by the number (28) 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 2896201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780077120).

2896201728 is an abundant number, since it is smaller than the sum of its proper divisors (6663952512).

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

2896201728 is a wasteful number, since it uses less digits than its factorization.

2896201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22482 (or 22459 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2896201728 is about 53816.3704461756. The cubic root of 2896201728 is about 1425.4202889550.

The spelling of 2896201728 in words is "two billion, eight hundred ninety-six million, two hundred one thousand, seven hundred twenty-eight".