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1028608 = 297241
BaseRepresentation
bin11111011001000000000
31221020222121
43323020000
5230403413
634014024
711512600
oct3731000
91836877
101028608
11642899
12417314
132a0259
141cac00
15154b8d
hexfb200

1028608 has 60 divisors (see below), whose sum is σ = 2449062. Its totient is φ = 430080.

The previous prime is 1028597. The next prime is 1028617. The reversal of 1028608 is 8068201.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 12544 = 1008^2 + 112^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25068 + ... + 25108.

21028608 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 1028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224531).

1028608 is an abundant number, since it is smaller than the sum of its proper divisors (1420454).

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

1028608 is an frugal number, since it uses more digits than its factorization.

1028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1028608 is about 1014.2031354714. The cubic root of 1028608 is about 100.9446482971.

The spelling of 1028608 in words is "one million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 392 448 512 574 656 784 896 1148 1312 1568 1792 2009 2296 2624 3136 3584 4018 4592 5248 6272 8036 9184 10496 12544 16072 18368 20992 25088 32144 36736 64288 73472 128576 146944 257152 514304 1028608