1428094416 has 120 divisors (see below), whose sum is σ = 4517582880. Its totient is φ = 386539776.

The previous prime is 1428094387. The next prime is 1428094427. The reversal of 1428094416 is 6144908241.

It is a super-2 number, since 2×1428094416² = 4078907322020762112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28710 + ... + 60666.

It is an arithmetic number, because the mean of its divisors is an integer number (37646524).

Almost surely, 2^1428094416 is an apocalyptic number.

1428094416 is a gapful number since it is divisible by the number (16) 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 1428094416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258791440).

1428094416 is an abundant number, since it is smaller than the sum of its proper divisors (3089488464).

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

1428094416 is a wasteful number, since it uses less digits than its factorization.

1428094416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32001 (or 31988 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1428094416 is about 37790.1364908887. The cubic root of 1428094416 is about 1126.1225117959.

The spelling of 1428094416 in words is "one billion, four hundred twenty-eight million, ninety-four thousand, four hundred sixteen".