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28080640 = 29571567
BaseRepresentation
bin110101100011…
…1101000000000
31221211122101201
41223013220000
524142040030
62441510544
7460452520
oct153075000
957748351
1028080640
111493a445
1294a2454
135a82483
143a2d680
1526ea2ca
hex1ac7a00

28080640 has 80 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 9621504.

The previous prime is 28080623. The next prime is 28080653. The reversal of 28080640 is 4608082.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 28080599 and 28080608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17137 + ... + 18703.

Almost surely, 228080640 is an apocalyptic number.

28080640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

28080640 is an abundant number, since it is smaller than the sum of its proper divisors (48914432).

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

28080640 is an equidigital number, since it uses as much as digits as its factorization.

28080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 28080640 is about 5299.1169075611. The cubic root of 28080640 is about 303.9501303237.

The spelling of 28080640 in words is "twenty-eight million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1567 1792 2240 2560 3134 3584 4480 6268 7835 8960 10969 12536 15670 17920 21938 25072 31340 43876 50144 54845 62680 87752 100288 109690 125360 175504 200576 219380 250720 351008 401152 438760 501440 702016 802304 877520 1002880 1404032 1755040 2005760 2808064 3510080 4011520 5616128 7020160 14040320 28080640