4268428040 has 32 divisors (see below), whose sum is σ = 9863533080. Its totient is φ = 1661225472.

The previous prime is 4268428007. The next prime is 4268428079. The reversal of 4268428040 is 408248624.

4268428040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4214346724 + 54081316 = 64918^2 + 7354^2 .

It is a super-3 number, since 3×4268428040³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4268427985 and 4268428003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440557 + ... + 1443516.

Almost surely, 2^4268428040 is an apocalyptic number.

4268428040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268428040 is an abundant number, since it is smaller than the sum of its proper divisors (5595105040).

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

4268428040 is a wasteful number, since it uses less digits than its factorization.

4268428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884121 (or 2884117 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 4268428040 is about 65333.2077889950. The cubic root of 4268428040 is about 1622.1436895394.

The spelling of 4268428040 in words is "four billion, two hundred sixty-eight million, four hundred twenty-eight thousand, forty".