1428848640 has 512 divisors, whose sum is σ = 5662224000. Its totient is φ = 339738624.

The previous prime is 1428848609. The next prime is 1428848669. The reversal of 1428848640 is 468488241.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 75202551 + ... + 75202569.

Almost surely, 2^1428848640 is an apocalyptic number.

1428848640 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 1428848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831112000).

1428848640 is an abundant number, since it is smaller than the sum of its proper divisors (4233375360).

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

1428848640 is an equidigital number, since it uses as much as digits as its factorization.

1428848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 1428848640 is about 37800.1142855415. The cubic root of 1428848640 is about 1126.3207244483.

The spelling of 1428848640 in words is "one billion, four hundred twenty-eight million, eight hundred forty-eight thousand, six hundred forty".