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28119680 = 27553829
BaseRepresentation
bin110101101000…
…1001010000000
31221220121221122
41223101022000
524144312210
62442411412
7461004401
oct153211200
957817848
1028119680
1114966806
129500b68
135a97184
143a3d9a8
152706b55
hex1ad1280

28119680 has 64 divisors (see below), whose sum is σ = 68574600. Its totient is φ = 11022336.

The previous prime is 28119671. The next prime is 28119691. The reversal of 28119680 is 8691182.

It can be written as a sum of positive squares in 4 ways, for example, as 25482304 + 2637376 = 5048^2 + 1624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28119680.

It is a congruent number.

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, 33506 + ... + 34334.

Almost surely, 228119680 is an apocalyptic number.

28119680 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 28119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34287300).

28119680 is an abundant number, since it is smaller than the sum of its proper divisors (40454920).

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

28119680 is an equidigital number, since it uses as much as digits as its factorization.

28119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 28119680 is about 5302.7992607678. The cubic root of 28119680 is about 304.0909238646.

The spelling of 28119680 in words is "twenty-eight million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 829 848 1060 1658 1696 2120 3316 3392 4145 4240 6632 6784 8290 8480 13264 16580 16960 26528 33160 33920 43937 53056 66320 87874 106112 132640 175748 219685 265280 351496 439370 530560 702992 878740 1405984 1757480 2811968 3514960 5623936 7029920 14059840 28119680