1428947520 has 448 divisors, whose sum is σ = 6095609856. Its totient is φ = 273899520.

The previous prime is 1428947483. The next prime is 1428947551. The reversal of 1428947520 is 257498241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960217 + ... + 961703.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^1428947520 is an apocalyptic number.

1428947520 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 1428947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047804928).

1428947520 is an abundant number, since it is smaller than the sum of its proper divisors (4666662336).

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

1428947520 is a wasteful number, since it uses less digits than its factorization.

1428947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1428947520 is about 37801.4221954677. The cubic root of 1428947520 is about 1126.3467052791.

The spelling of 1428947520 in words is "one billion, four hundred twenty-eight million, nine hundred forty-seven thousand, five hundred twenty".