2028456000 has 224 divisors, whose sum is σ = 7442972160. Its totient is φ = 540864000.

The previous prime is 2028455999. The next prime is 2028456019. The reversal of 2028456000 is 6548202.

2028456000 is a `hidden beast` number, since 20 + 2 + 84 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×2028456000² = 8229267487872000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211305 + ... + 220695.

Almost surely, 2^2028456000 is an apocalyptic number.

2028456000 is a gapful number since it is divisible by the number (20) 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 2028456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721486080).

2028456000 is an abundant number, since it is smaller than the sum of its proper divisors (5414516160).

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

2028456000 is an equidigital number, since it uses as much as digits as its factorization.

2028456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2028456000 is about 45038.3836299661. The cubic root of 2028456000 is about 1265.8683181022.

The spelling of 2028456000 in words is "two billion, twenty-eight million, four hundred fifty-six thousand".