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28354464 = 253298453
BaseRepresentation
bin110110000101…
…0011110100000
31222100120000100
41230022132200
524224320324
62451422400
7463003035
oct154123640
958316010
1028354464
1115007146
1295b4a00
135b49cb8
143aa138c
1527514c9
hex1b0a7a0

28354464 has 36 divisors (see below), whose sum is σ = 80633826. Its totient is φ = 9451392.

The previous prime is 28354457. The next prime is 28354499. The reversal of 28354464 is 46445382.

It can be written as a sum of positive squares in only one way, i.e., 16160400 + 12194064 = 4020^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 48939 + ... + 49514.

Almost surely, 228354464 is an apocalyptic number.

28354464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28354464 is an abundant number, since it is smaller than the sum of its proper divisors (52279362).

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

28354464 is a wasteful number, since it uses less digits than its factorization.

28354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98469 (or 98458 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 28354464 is about 5324.8909847996. The cubic root of 28354464 is about 304.9349104138.

The spelling of 28354464 in words is "twenty-eight million, three hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 98453 196906 295359 393812 590718 787624 886077 1181436 1575248 1772154 2362872 3150496 3544308 4725744 7088616 9451488 14177232 28354464