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28795872 = 253773587
BaseRepresentation
bin110110111011…
…0001111100000
32000011222111210
41231312033200
524332431442
62505110120
7466521660
oct155661740
960158453
1028795872
1115288846
129788340
135c72ba1
143b781a0
1527dc19c
hex1b763e0

28795872 has 96 divisors (see below), whose sum is σ = 87720192. Its totient is φ = 8100864.

The previous prime is 28795867. The next prime is 28795873. The reversal of 28795872 is 27859782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (564480) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28795873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48763 + ... + 49349.

It is an arithmetic number, because the mean of its divisors is an integer number (913752).

Almost surely, 228795872 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 28795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43860096).

28795872 is an abundant number, since it is smaller than the sum of its proper divisors (58924320).

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

28795872 is a wasteful number, since it uses less digits than its factorization.

28795872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 28795872 is about 5366.1785285247. The cubic root of 28795872 is about 306.5091272330.

The spelling of 28795872 in words is "twenty-eight million, seven hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 587 672 876 1022 1168 1174 1533 1752 1761 2044 2336 2348 3066 3504 3522 4088 4109 4696 6132 7008 7044 8176 8218 9392 12264 12327 14088 16352 16436 18784 24528 24654 28176 32872 42851 49056 49308 56352 65744 85702 98616 128553 131488 171404 197232 257106 299957 342808 394464 514212 599914 685616 899871 1028424 1199828 1371232 1799742 2056848 2399656 3599484 4113696 4799312 7198968 9598624 14397936 28795872