1414945728 has 168 divisors, whose sum is σ = 4795296480. Its totient is φ = 390297600.

The previous prime is 1414945627. The next prime is 1414945747. The reversal of 1414945728 is 8275494141.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110878 + ... + 122978.

Almost surely, 2^1414945728 is an apocalyptic number.

1414945728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397648240).

1414945728 is an abundant number, since it is smaller than the sum of its proper divisors (3380350752).

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

1414945728 is a wasteful number, since it uses less digits than its factorization.

1414945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12142 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1414945728 is about 37615.7643548553. The cubic root of 1414945728 is about 1122.6557216381.

The spelling of 1414945728 in words is "one billion, four hundred fourteen million, nine hundred forty-five thousand, seven hundred twenty-eight".