1428125000 has 72 divisors (see below), whose sum is σ = 3354490470. Its totient is φ = 570000000.

The previous prime is 1428124963. The next prime is 1428125021. The reversal of 1428125000 is 5218241.

It can be written as a sum of positive squares in 9 ways, for example, as 1426875076 + 1249924 = 37774^2 + 1118^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124772 + ... + 3125228.

Almost surely, 2^1428125000 is an apocalyptic number.

1428125000 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 1428125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677245235).

1428125000 is an abundant number, since it is smaller than the sum of its proper divisors (1926365470).

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

1428125000 is an frugal number, since it uses more digits than its factorization.

1428125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1428125000 is about 37790.5411445774. The cubic root of 1428125000 is about 1126.1305507334.

The spelling of 1428125000 in words is "one billion, four hundred twenty-eight million, one hundred twenty-five thousand".