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28300752 = 243529251
BaseRepresentation
bin110101111110…
…1010111010000
31222020211100000
41223331113100
524221111002
62450330000
7462360324
oct153752720
958224300
1028300752
1114a7a857
129589900
135b2b70c
143a89984
15274061c
hex1afd5d0

28300752 has 120 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 9072000.

The previous prime is 28300739. The next prime is 28300763. The reversal of 28300752 is 25700382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112627 + ... + 112877.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 228300752 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 28300752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

28300752 is an abundant number, since it is smaller than the sum of its proper divisors (57006288).

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

28300752 is a wasteful number, since it uses less digits than its factorization.

28300752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 28300752 is about 5319.8451105272. The cubic root of 28300752 is about 304.7422421404.

The spelling of 28300752 in words is "twenty-eight million, three hundred thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 251 261 324 348 432 464 486 502 522 648 696 753 783 972 1004 1044 1296 1392 1506 1566 1944 2008 2088 2259 2349 3012 3132 3888 4016 4176 4518 4698 6024 6264 6777 7047 7279 9036 9396 12048 12528 13554 14094 14558 18072 18792 20331 21837 27108 28188 29116 36144 37584 40662 43674 54216 56376 58232 60993 65511 81324 87348 108432 112752 116464 121986 131022 162648 174696 196533 243972 262044 325296 349392 393066 487944 524088 589599 786132 975888 1048176 1179198 1572264 1768797 2358396 3144528 3537594 4716792 7075188 9433584 14150376 28300752