1428505344 has 216 divisors, whose sum is σ = 4913056512. Its totient is φ = 390297600.

The previous prime is 1428505307. The next prime is 1428505399. The reversal of 1428505344 is 4435058241.

It is a happy number.

1428505344 is a `hidden beast` number, since 1 + 42 + 85 + 0 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1428505299 and 1428505308.

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, 369019 + ... + 372869.

It is an arithmetic number, because the mean of its divisors is an integer number (22745632).

Almost surely, 2^1428505344 is an apocalyptic number.

1428505344 is a gapful number since it is divisible by the number (14) 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 1428505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456528256).

1428505344 is an abundant number, since it is smaller than the sum of its proper divisors (3484551168).

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

1428505344 is a wasteful number, since it uses less digits than its factorization.

1428505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1428505344 is about 37795.5730741049. The cubic root of 1428505344 is about 1126.2305137338.

The spelling of 1428505344 in words is "one billion, four hundred twenty-eight million, five hundred five thousand, three hundred forty-four".