2028125736 has 192 divisors, whose sum is σ = 6972739200. Its totient is φ = 534822912.

The previous prime is 2028125657. The next prime is 2028125747. The reversal of 2028125736 is 6375218202.

2028125736 is a `hidden beast` number, since 2 + 0 + 2 + 81 + 2 + 573 + 6 = 666.

It is a super-2 number, since 2×2028125736² = 8226588002051083392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2028125736.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251560 + ... + 259496.

It is an arithmetic number, because the mean of its divisors is an integer number (36316350).

Almost surely, 2^2028125736 is an apocalyptic number.

2028125736 is a gapful number since it is divisible by the number (26) 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 2028125736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486369600).

2028125736 is an abundant number, since it is smaller than the sum of its proper divisors (4944613464).

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

2028125736 is a wasteful number, since it uses less digits than its factorization.

2028125736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2028125736 is about 45034.7170081039. The cubic root of 2028125736 is about 1265.7996133951.

The spelling of 2028125736 in words is "two billion, twenty-eight million, one hundred twenty-five thousand, seven hundred thirty-six".