1428685440 has 768 divisors, whose sum is σ = 6128421120. Its totient is φ = 276037632.

The previous prime is 1428685387. The next prime is 1428685441. The reversal of 1428685440 is 445868241.

It is a super-2 number, since 2×1428685440² = 4082284172935987200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1428685392 and 1428685401.

It is not an unprimeable number, because it can be changed into a prime (1428685441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38613102 + ... + 38613138.

It is an arithmetic number, because the mean of its divisors is an integer number (7979715).

Almost surely, 2^1428685440 is an apocalyptic number.

1428685440 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 1428685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064210560).

1428685440 is an abundant number, since it is smaller than the sum of its proper divisors (4699735680).

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

1428685440 is a wasteful number, since it uses less digits than its factorization.

1428685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1428685440 is about 37797.9555002648. The cubic root of 1428685440 is about 1126.2778408435.

The spelling of 1428685440 in words is "one billion, four hundred twenty-eight million, six hundred eighty-five thousand, four hundred forty".