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28557216 = 2532229433
BaseRepresentation
bin110110011101…
…1111110100000
31222201212010200
41230323332200
524302312331
62500025200
7464506122
oct154737640
958655120
1028557216
1115135506
129692200
135bbb37c
143b15212
1527915e6
hex1b3bfa0

28557216 has 72 divisors (see below), whose sum is σ = 81752580. Its totient is φ = 9455616.

The previous prime is 28557173. The next prime is 28557227. The reversal of 28557216 is 61275582.

It is a happy number.

28557216 is a `hidden beast` number, since 2 + 85 + 572 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 41616 = 5340^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 65736 + ... + 66168.

Almost surely, 228557216 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 28557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876290).

28557216 is an abundant number, since it is smaller than the sum of its proper divisors (53195364).

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

28557216 is a wasteful number, since it uses less digits than its factorization.

28557216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 28557216 is about 5343.8952085534. The cubic root of 28557216 is about 305.6600094137.

The spelling of 28557216 in words is "twenty-eight million, five hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 433 458 687 866 916 1299 1374 1732 1832 2061 2598 2748 3464 3664 3897 4122 5196 5496 6928 7328 7794 8244 10392 10992 13856 15588 16488 20784 21984 31176 32976 41568 62352 65952 99157 124704 198314 297471 396628 594942 793256 892413 1189884 1586512 1784826 2379768 3173024 3569652 4759536 7139304 9519072 14278608 28557216