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5772972928 = 272911313763
BaseRepresentation
bin1010110000001100…
…01001001110000000
3112220022212102002011
411120012021032000
543310340113203
62352502502304
7263026313602
oct53006111600
915808772064
105772972928
1124a2769008
121151434994
1371003aa18
143ca9d3172
1523bc4076d
hex158189380

5772972928 has 64 divisors (see below), whose sum is σ = 12003584400. Its totient is φ = 2762088448.

The previous prime is 5772972913. The next prime is 5772972983. The reversal of 5772972928 is 8292792775.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412575 + ... + 426337.

Almost surely, 25772972928 is an apocalyptic number.

5772972928 is a gapful number since it is divisible by the number (58) 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 5772972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001792200).

5772972928 is an abundant number, since it is smaller than the sum of its proper divisors (6230611472).

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

5772972928 is a wasteful number, since it uses less digits than its factorization.

5772972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13907 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 58.

The square root of 5772972928 is about 75980.0824427034. The cubic root of 5772972928 is about 1793.9066520822.

The spelling of 5772972928 in words is "five billion, seven hundred seventy-two million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 128 226 232 452 464 904 928 1808 1856 3277 3616 3712 6554 7232 13108 13763 14464 26216 27526 52432 55052 104864 110104 209728 220208 399127 419456 440416 798254 880832 1555219 1596508 1761664 3110438 3193016 6220876 6386032 12441752 12772064 24883504 25544128 45101351 49767008 51088256 90202702 99534016 180405404 199068032 360810808 721621616 1443243232 2886486464 5772972928