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28436096 = 271323743
BaseRepresentation
bin110110001111…
…0011010000000
31222111200222202
41230132122000
524234423341
62453252332
7463463033
oct154363200
958450882
1028436096
1115062507
1296340a8
135b781c0
143ac301a
15276a79b
hex1b1e680

28436096 has 64 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 12536832.

The previous prime is 28436069. The next prime is 28436147. The reversal of 28436096 is 69063482.

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

It is a super-2 number, since 2×284360962 = 1617223111442432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37901 + ... + 38643.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 228436096 is an apocalyptic number.

28436096 is a gapful number since it is divisible by the number (26) 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 28436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

28436096 is an abundant number, since it is smaller than the sum of its proper divisors (35309824).

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

28436096 is a wasteful number, since it uses less digits than its factorization.

28436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 28436096 is about 5332.5506092301. The cubic root of 28436096 is about 305.2272641027.

The spelling of 28436096 in words is "twenty-eight million, four hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 743 832 1196 1472 1486 1664 2392 2944 2972 4784 5944 9568 9659 11888 17089 19136 19318 23776 34178 38272 38636 47552 68356 77272 95104 136712 154544 222157 273424 309088 444314 546848 618176 888628 1093696 1236352 1777256 2187392 3554512 7109024 14218048 28436096