1428887460 has 384 divisors, whose sum is σ = 5525581824. Its totient is φ = 266250240.

The previous prime is 1428887401. The next prime is 1428887483. The reversal of 1428887460 is 647888241.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2221899 + ... + 2222541.

It is an arithmetic number, because the mean of its divisors is an integer number (14389536).

Almost surely, 2^1428887460 is an apocalyptic number.

1428887460 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 1428887460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762790912).

1428887460 is an abundant number, since it is smaller than the sum of its proper divisors (4096694364).

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

1428887460 is a wasteful number, since it uses less digits than its factorization.

1428887460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 1428887460 is about 37800.6277725648. The cubic root of 1428887460 is about 1126.3309245897.

It can be divided in two parts, 1428 and 887460, that added together give a palindrome (888888).

The spelling of 1428887460 in words is "one billion, four hundred twenty-eight million, eight hundred eighty-seven thousand, four hundred sixty".