8402288896 has 81 divisors (see below), whose sum is σ = 17869388439. Its totient is φ = 3942285312.

The previous prime is 8402288891. The next prime is 8402288903. The reversal of 8402288896 is 6988822048.

It is a happy number.

The square root of 8402288896 is 91664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 8375910400 = 5136^2 + 91520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8402288891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24932440 + ... + 24932776.

Almost surely, 2^8402288896 is an apocalyptic number.

8402288896 is the 91664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402288896

8402288896 is an abundant number, since it is smaller than the sum of its proper divisors (9467099543).

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

8402288896 is an frugal number, since it uses more digits than its factorization.

8402288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The cubic root of 8402288896 is about 2032.9773338107.

The spelling of 8402288896 in words is "eight billion, four hundred two million, two hundred eighty-eight thousand, eight hundred ninety-six".