4028646092800 has 468 divisors, whose sum is σ = 11904856540416. Its totient is φ = 1347492249600.

The previous prime is 4028646092791. The next prime is 4028646092803. The reversal of 4028646092800 is 82906468204.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028646092803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205711809 + ... + 205731391.

Almost surely, 2^{4028646092800} is an apocalyptic number.

4028646092800 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 4028646092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952428270208).

4028646092800 is an abundant number, since it is smaller than the sum of its proper divisors (7876210447616).

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

4028646092800 is a wasteful number, since it uses less digits than its factorization.

4028646092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19672 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 4028646092800 in words is "four trillion, twenty-eight billion, six hundred forty-six million, ninety-two thousand, eight hundred".