6028646400 has 864 divisors, whose sum is σ = 26049114000. Its totient is φ = 1362493440.

The previous prime is 6028646383. The next prime is 6028646413. The reversal of 6028646400 is 46468206.

It is a happy number.

6028646400 is a `hidden beast` number, since 6 + 0 + 2 + 8 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737556 + ... + 67737644.

Almost surely, 2^6028646400 is an apocalyptic number.

6028646400 is a gapful number since it is divisible by the number (60) 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 6028646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024557000).

6028646400 is an abundant number, since it is smaller than the sum of its proper divisors (20020467600).

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

6028646400 is a wasteful number, since it uses less digits than its factorization.

6028646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6028646400 is about 77644.3584557178. The cubic root of 6028646400 is about 1820.0078895122.

The spelling of 6028646400 in words is "six billion, twenty-eight million, six hundred forty-six thousand, four hundred".