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28689920 = 29571601
BaseRepresentation
bin110110101110…
…0011000000000
31222222121011122
41231130120000
524321034140
62502531412
7465601040
oct155343000
958877148
1028689920
1115216186
129736b68
135c368ac
143b4b720
1527baab5
hex1b5c600

28689920 has 80 divisors (see below), whose sum is σ = 78664608. Its totient is φ = 9830400.

The previous prime is 28689889. The next prime is 28689953. The reversal of 28689920 is 2998682.

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

It is a super-2 number, since 2×286899202 = 1646223019212800, which contains 22 as substring.

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, 17120 + ... + 18720.

Almost surely, 228689920 is an apocalyptic number.

28689920 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 28689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39332304).

28689920 is an abundant number, since it is smaller than the sum of its proper divisors (49974688).

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

28689920 is an equidigital number, since it uses as much as digits as its factorization.

28689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 28689920 is about 5356.2972284966. The cubic root of 28689920 is about 306.1327403367.

The spelling of 28689920 in words is "twenty-eight million, six hundred eighty-nine thousand, nine hundred twenty".

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 1601 1792 2240 2560 3202 3584 4480 6404 8005 8960 11207 12808 16010 17920 22414 25616 32020 44828 51232 56035 64040 89656 102464 112070 128080 179312 204928 224140 256160 358624 409856 448280 512320 717248 819712 896560 1024640 1434496 1793120 2049280 2868992 3586240 4098560 5737984 7172480 14344960 28689920