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897827328 = 293421649
BaseRepresentation
bin110101100000111…
…100001000000000
32022120102100120000
4311200330020000
53314320433303
6225031320000
731151256246
oct6540741000
92276370500
10897827328
11420888a62
12210820000
13114015798
1487352796
1553c4cda3
hex3583c200

897827328 has 100 divisors (see below), whose sum is σ = 2679901950. Its totient is φ = 299261952.

The previous prime is 897827297. The next prime is 897827339. The reversal of 897827328 is 823728798.

It can be written as a sum of positive squares in only one way, i.e., 804743424 + 93083904 = 28368^2 + 9648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30648 + ... + 52296.

Almost surely, 2897827328 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 897827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339950975).

897827328 is an abundant number, since it is smaller than the sum of its proper divisors (1782074622).

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

897827328 is an equidigital number, since it uses as much as digits as its factorization.

897827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21679 (or 21654 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 897827328 is about 29963.7669193978. The cubic root of 897827328 is about 964.7118357100.

The spelling of 897827328 in words is "eight hundred ninety-seven million, eight hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 21649 41472 43298 64947 86596 129894 173192 194841 259788 346384 389682 519576 584523 692768 779364 1039152 1169046 1385536 1558728 1753569 2078304 2338092 2771072 3117456 3507138 4156608 4676184 5542144 6234912 7014276 8313216 9352368 11084288 12469824 14028552 16626432 18704736 24939648 28057104 33252864 37409472 49879296 56114208 74818944 99758592 112228416 149637888 224456832 299275776 448913664 897827328