2028533760 has 768 divisors, whose sum is σ = 8491392000. Its totient is φ = 454164480.

The previous prime is 2028533747. The next prime is 2028533761. The reversal of 2028533760 is 673358202.

2028533760 is a `hidden beast` number, since 2 + 0 + 285 + 3 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2028533760² = 8229898430919475200, 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 (2028533761) 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 63 ways as a sum of consecutive naturals, for example, 69949426 + ... + 69949454.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^2028533760 is an apocalyptic number.

2028533760 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 2028533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2028533760 is an abundant number, since it is smaller than the sum of its proper divisors (6462858240).

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

2028533760 is a wasteful number, since it uses less digits than its factorization.

2028533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2028533760 is about 45039.2468853554. The cubic root of 2028533760 is about 1265.8844934038.

It can be divided in two parts, 20285 and 33760, that added together give a palindrome (54045).

The spelling of 2028533760 in words is "two billion, twenty-eight million, five hundred thirty-three thousand, seven hundred sixty".