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28949664 = 253437013
BaseRepresentation
bin110111001101…
…1110010100000
32000110210110210
41232123302200
524402342124
62512254120
7501032232
oct156336240
960423423
1028949664
1115383347
129841340
135cc7ba3
143bb8252
15281ca29
hex1b9bca0

28949664 has 48 divisors (see below), whose sum is σ = 77771232. Its totient is φ = 9424128.

The previous prime is 28949659. The next prime is 28949671. The reversal of 28949664 is 46694982.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 622 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (1620234).

Almost surely, 228949664 is an apocalyptic number.

28949664 is a gapful number since it is divisible by the number (24) 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 28949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885616).

28949664 is an abundant number, since it is smaller than the sum of its proper divisors (48821568).

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

28949664 is a wasteful number, since it uses less digits than its factorization.

28949664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7061 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 28949664 is about 5380.4891970898. The cubic root of 28949664 is about 307.0538231414.

The spelling of 28949664 in words is "twenty-eight million, nine hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 7013 14026 21039 28052 42078 56104 84156 112208 168312 224416 301559 336624 603118 673248 904677 1206236 1809354 2412472 3618708 4824944 7237416 9649888 14474832 28949664