4282288992 has 48 divisors (see below), whose sum is σ = 12490012080. Its totient is φ = 1427429376.

The previous prime is 4282288961. The next prime is 4282289021. The reversal of 4282288992 is 2998822824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4282288992² = 36675998022008752128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2477313 + ... + 2479040.

It is an arithmetic number, because the mean of its divisors is an integer number (260208585).

Almost surely, 2^4282288992 is an apocalyptic number.

It is an amenable number.

4282288992 is an abundant number, since it is smaller than the sum of its proper divisors (8207723088).

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

4282288992 is a wasteful number, since it uses less digits than its factorization.

4282288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956372 (or 4956358 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 4282288992 is about 65439.2007286153. The cubic root of 4282288992 is about 1623.8976655812.

The spelling of 4282288992 in words is "four billion, two hundred eighty-two million, two hundred eighty-eight thousand, nine hundred ninety-two".