5628061440 has 360 divisors, whose sum is σ = 21205559760. Its totient is φ = 1421328384.

The previous prime is 5628061433. The next prime is 5628061499. The reversal of 5628061440 is 441608265.

5628061440 is a `hidden beast` number, since 562 + 80 + 6 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×5628061440³ (a number of 30 digits) contains 333 as substring.

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 = 5628061395 and 5628061404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1968492 + ... + 1971348.

Almost surely, 2^5628061440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602779880).

5628061440 is an abundant number, since it is smaller than the sum of its proper divisors (15577498320).

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

5628061440 is a wasteful number, since it uses less digits than its factorization.

5628061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5628061440 is about 75020.4068237436. The cubic root of 5628061440 is about 1778.7692371496.

The spelling of 5628061440 in words is "five billion, six hundred twenty-eight million, sixty-one thousand, four hundred forty".