1428261120 has 864 divisors, whose sum is σ = 6325280640. Its totient is φ = 300810240.

The previous prime is 1428261113. The next prime is 1428261169. The reversal of 1428261120 is 211628241.

1428261120 is a `hidden beast` number, since 1 + 4 + 28 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84015352 + ... + 84015368.

Almost surely, 2^1428261120 is an apocalyptic number.

1428261120 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 1428261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162640320).

1428261120 is an abundant number, since it is smaller than the sum of its proper divisors (4897019520).

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

1428261120 is a wasteful number, since it uses less digits than its factorization.

1428261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1428261120 is about 37792.3420814323. The cubic root of 1428261120 is about 1126.1663281853.

Adding to 1428261120 its reverse (211628241), we get a palindrome (1639889361).

The spelling of 1428261120 in words is "one billion, four hundred twenty-eight million, two hundred sixty-one thousand, one hundred twenty".