1414426728 has 256 divisors, whose sum is σ = 4435200000. Its totient is φ = 369515520.

The previous prime is 1414426723. The next prime is 1414426859. The reversal of 1414426728 is 8276244141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1414426723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7107573 + ... + 7107771.

It is an arithmetic number, because the mean of its divisors is an integer number (17325000).

Almost surely, 2^1414426728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414426728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217600000).

1414426728 is an abundant number, since it is smaller than the sum of its proper divisors (3020773272).

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

1414426728 is a wasteful number, since it uses less digits than its factorization.

1414426728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 1414426728 is about 37608.8650187692. The cubic root of 1414426728 is about 1122.5184420328.

The spelling of 1414426728 in words is "one billion, four hundred fourteen million, four hundred twenty-six thousand, seven hundred twenty-eight".