1428053760 has 288 divisors, whose sum is σ = 5792532480. Its totient is φ = 326356992.

The previous prime is 1428053747. The next prime is 1428053797. The reversal of 1428053760 is 673508241.

1428053760 is a `hidden beast` number, since 1 + 4 + 280 + 5 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238969 + ... + 244871.

It is an arithmetic number, because the mean of its divisors is an integer number (20112960).

Almost surely, 2^1428053760 is an apocalyptic number.

1428053760 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 1428053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896266240).

1428053760 is an abundant number, since it is smaller than the sum of its proper divisors (4364478720).

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

1428053760 is an equidigital number, since it uses as much as digits as its factorization.

1428053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1428053760 is about 37789.5985689184. The cubic root of 1428053760 is about 1126.1118252776. Note that the first 3 decimals are identical.

The spelling of 1428053760 in words is "one billion, four hundred twenty-eight million, fifty-three thousand, seven hundred sixty".