1428642000 has 240 divisors, whose sum is σ = 5034469440. Its totient is φ = 377568000.

The previous prime is 1428641983. The next prime is 1428642001. The reversal of 1428642000 is 2468241.

1428642000 is a `hidden beast` number, since 14 + 2 + 8 + 642 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428642001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501715 + ... + 2502285.

It is an arithmetic number, because the mean of its divisors is an integer number (20976956).

Almost surely, 2^1428642000 is an apocalyptic number.

1428642000 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 1428642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517234720).

1428642000 is an abundant number, since it is smaller than the sum of its proper divisors (3605827440).

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

1428642000 is a wasteful number, since it uses less digits than its factorization.

1428642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1428642000 is about 37797.3808616417. The cubic root of 1428642000 is about 1126.2664256867.

The spelling of 1428642000 in words is "one billion, four hundred twenty-eight million, six hundred forty-two thousand".