4286528640 has 128 divisors (see below), whose sum is σ = 15181516800. Its totient is φ = 1143069696.

The previous prime is 4286528567. The next prime is 4286528651. The reversal of 4286528640 is 468256824.

4286528640 is a `hidden beast` number, since 4 + 2 + 86 + 528 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106752 + ... + 141311.

It is an arithmetic number, because the mean of its divisors is an integer number (118605600).

Almost surely, 2^4286528640 is an apocalyptic number.

4286528640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4286528640 is an abundant number, since it is smaller than the sum of its proper divisors (10894988160).

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

4286528640 is a wasteful number, since it uses less digits than its factorization.

4286528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248091 (or 248073 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4286528640 is about 65471.5865089582. The cubic root of 4286528640 is about 1624.4333980431.

The spelling of 4286528640 in words is "four billion, two hundred eighty-six million, five hundred twenty-eight thousand, six hundred forty".