1428587100 has 108 divisors (see below), whose sum is σ = 4488211000. Its totient is φ = 380073600.

The previous prime is 1428587081. The next prime is 1428587101. The reversal of 1428587100 is 17858241.

It is a super-2 number, since 2×1428587100² = 4081722204572820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428587101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447510 + ... + 450690.

Almost surely, 2^1428587100 is an apocalyptic number.

1428587100 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 1428587100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244105500).

1428587100 is an abundant number, since it is smaller than the sum of its proper divisors (3059623900).

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

1428587100 is a wasteful number, since it uses less digits than its factorization.

1428587100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1428587100 is about 37796.6546138676. The cubic root of 1428587100 is about 1126.2519987416.

The spelling of 1428587100 in words is "one billion, four hundred twenty-eight million, five hundred eighty-seven thousand, one hundred".