1428892920 has 768 divisors, whose sum is σ = 6251212800. Its totient is φ = 287400960.

The previous prime is 1428892867. The next prime is 1428892931. The reversal of 1428892920 is 292988241.

It is a happy number.

1428892920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1428892920² = 4083469953652252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21326727 + ... + 21326793.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^1428892920 is an apocalyptic number.

1428892920 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 1428892920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

1428892920 is an abundant number, since it is smaller than the sum of its proper divisors (4822319880).

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

1428892920 is a wasteful number, since it uses less digits than its factorization.

1428892920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1428892920 is about 37800.6999935186. The cubic root of 1428892920 is about 1126.3323592161.

The spelling of 1428892920 in words is "one billion, four hundred twenty-eight million, eight hundred ninety-two thousand, nine hundred twenty".