4028313600 has 624 divisors, whose sum is σ = 15600906240. Its totient is φ = 1017446400.

The previous prime is 4028313599. The next prime is 4028313689. The reversal of 4028313600 is 63138204.

It is a happy number.

4028313600 is a `hidden beast` number, since 4 + 0 + 28 + 31 + 3 + 600 = 666.

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

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, 85708777 + ... + 85708823.

Almost surely, 2^4028313600 is an apocalyptic number.

4028313600 is a gapful number since it is divisible by the number (40) 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 4028313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800453120).

4028313600 is an abundant number, since it is smaller than the sum of its proper divisors (11572592640).

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

4028313600 is a wasteful number, since it uses less digits than its factorization.

4028313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4028313600 is about 63468.9971560919. The cubic root of 4028313600 is about 1591.1376692322.

The spelling of 4028313600 in words is "four billion, twenty-eight million, three hundred thirteen thousand, six hundred".