6028633440 has 384 divisors, whose sum is σ = 21893639040. Its totient is φ = 1548288000.

The previous prime is 6028633439. The next prime is 6028633463. The reversal of 6028633440 is 443368206.

It is a happy number.

6028633440 is a `hidden beast` number, since 6 + 0 + 286 + 334 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6028633395 and 6028633404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17888952 + ... + 17889288.

It is an arithmetic number, because the mean of its divisors is an integer number (57014685).

Almost surely, 2^6028633440 is an apocalyptic number.

6028633440 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 6028633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946819520).

6028633440 is an abundant number, since it is smaller than the sum of its proper divisors (15865005600).

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

6028633440 is a wasteful number, since it uses less digits than its factorization.

6028633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6028633440 is about 77644.2749982251. The cubic root of 6028633440 is about 1820.0065853322.

The spelling of 6028633440 in words is "six billion, twenty-eight million, six hundred thirty-three thousand, four hundred forty".