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28916900 = 2252289169
BaseRepresentation
bin110111001001…
…1110010100100
32000102010112022
41232103302210
524400320100
62511442312
7500534555
oct156236244
960363468
1028916900
1115360771
129826398
135cb5cbc
143baa32c
152812e85
hex1b93ca4

28916900 has 18 divisors (see below), whose sum is σ = 62749890. Its totient is φ = 11566720.

The previous prime is 28916897. The next prime is 28916929. The reversal of 28916900 is 961982.

It can be written as a sum of positive squares in 3 ways, for example, as 4096576 + 24820324 = 2024^2 + 4982^2 .

It is a super-2 number, since 2×289169002 = 1672374211220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144485 + ... + 144684.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 228916900 is an apocalyptic number.

28916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28916900 is an abundant number, since it is smaller than the sum of its proper divisors (33832990).

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

28916900 is a wasteful number, since it uses less digits than its factorization.

28916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289183 (or 289176 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 28916900 is about 5377.4436305739. The cubic root of 28916900 is about 306.9379425895.

It can be divided in two parts, 289 and 16900, that multiplied together give a square (4884100 = 22102).

The spelling of 28916900 in words is "twenty-eight million, nine hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 289169 578338 1156676 1445845 2891690 5783380 7229225 14458450 28916900