1428401520 has 640 divisors, whose sum is σ = 6232934400. Its totient is φ = 294368256.

The previous prime is 1428401459. The next prime is 1428401521. The reversal of 1428401520 is 251048241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428401521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33218619 + ... + 33218661.

It is an arithmetic number, because the mean of its divisors is an integer number (9738960).

Almost surely, 2^1428401520 is an apocalyptic number.

1428401520 is a gapful number since it is divisible by the number (10) 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 1428401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116467200).

1428401520 is an abundant number, since it is smaller than the sum of its proper divisors (4804532880).

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

1428401520 is a wasteful number, since it uses less digits than its factorization.

1428401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1428401520 is about 37794.1995549582. The cubic root of 1428401520 is about 1126.2032282007.

Adding to 1428401520 its reverse (251048241), we get a palindrome (1679449761).

The spelling of 1428401520 in words is "one billion, four hundred twenty-eight million, four hundred one thousand, five hundred twenty".