1428755328 has 768 divisors, whose sum is σ = 5860512000. Its totient is φ = 336752640.

The previous prime is 1428755297. The next prime is 1428755347. The reversal of 1428755328 is 8235578241.

1428755328 is a `hidden beast` number, since 1 + 42 + 8 + 75 + 532 + 8 = 666.

Its product of digits (537600) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24216163 + ... + 24216221.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^1428755328 is an apocalyptic number.

1428755328 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 1428755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1428755328 is an abundant number, since it is smaller than the sum of its proper divisors (4431756672).

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

1428755328 is a wasteful number, since it uses less digits than its factorization.

1428755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 1428755328 is about 37798.8799834069. The cubic root of 1428755328 is about 1126.2962055164.

The spelling of 1428755328 in words is "one billion, four hundred twenty-eight million, seven hundred fifty-five thousand, three hundred twenty-eight".