1428786240 has 224 divisors, whose sum is σ = 5218663680. Its totient is φ = 324427776.

The previous prime is 1428786217. The next prime is 1428786251. The reversal of 1428786240 is 426878241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1428786240² = 4082860239226675200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 = 1428786192 and 1428786201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161946 + ... + 1163174.

Almost surely, 2^1428786240 is an apocalyptic number.

1428786240 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 1428786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609331840).

1428786240 is an abundant number, since it is smaller than the sum of its proper divisors (3789877440).

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

1428786240 is a wasteful number, since it uses less digits than its factorization.

1428786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1428786240 is about 37799.2888821999. The cubic root of 1428786240 is about 1126.3043281615.

The spelling of 1428786240 in words is "one billion, four hundred twenty-eight million, seven hundred eighty-six thousand, two hundred forty".