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896728 = 23767239
BaseRepresentation
bin11011010111011011000
31200120002011
43122323120
5212143403
631115304
710423240
oct3327330
91616064
10896728
115627a8
12372b34
13255211
14194b20
1512aa6d
hexdaed8

896728 has 32 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 376992.

The previous prime is 896723. The next prime is 896771. The reversal of 896728 is 827698.

It is a super-3 number, since 3×8967283 = 2163233733380461056, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896723) by changing a digit.

896728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3633 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (61200).

2896728 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 896728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

896728 is an abundant number, since it is smaller than the sum of its proper divisors (1061672).

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

896728 is a wasteful number, since it uses less digits than its factorization.

896728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 896728 is about 946.9572324028. The cubic root of 896728 is about 96.4317933733.

The spelling of 896728 in words is "eight hundred ninety-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 239 268 469 478 536 938 956 1673 1876 1912 3346 3752 6692 13384 16013 32026 64052 112091 128104 224182 448364 896728