2028272400 has 720 divisors, whose sum is σ = 9134082048. Its totient is φ = 419904000.

The previous prime is 2028272377. The next prime is 2028272413. The reversal of 2028272400 is 42728202.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2028272400² = 8227777857203520000, 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 143 ways as a sum of consecutive naturals, for example, 7484265 + ... + 7484535.

Almost surely, 2^2028272400 is an apocalyptic number.

2028272400 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 2028272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567041024).

2028272400 is an abundant number, since it is smaller than the sum of its proper divisors (7105809648).

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

2028272400 is a wasteful number, since it uses less digits than its factorization.

2028272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2028272400 is about 45036.3453224171. The cubic root of 2028272400 is about 1265.8301247775.

The spelling of 2028272400 in words is "two billion, twenty-eight million, two hundred seventy-two thousand, four hundred".