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28212768 = 253297961
BaseRepresentation
bin110101110011…
…1111000100000
31222002100122100
41223213320200
524210302033
62444410400
7461542653
oct153477040
958070570
1028212768
1114a1a741
129546a00
135aca65c
143a6589a
152724513
hex1ae7e20

28212768 has 36 divisors (see below), whose sum is σ = 80230878. Its totient is φ = 9404160.

The previous prime is 28212763. The next prime is 28212781. The reversal of 28212768 is 86721282.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 1710864 = 5148^2 + 1308^2 .

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 not an unprimeable number, because it can be changed into a prime (28212763) by changing a digit.

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, 48693 + ... + 49268.

Almost surely, 228212768 is an apocalyptic number.

It is an amenable number.

28212768 is an abundant number, since it is smaller than the sum of its proper divisors (52018110).

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

28212768 is a wasteful number, since it uses less digits than its factorization.

28212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97977 (or 97966 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28212768 is about 5311.5692596445. The cubic root of 28212768 is about 304.4261106681.

The spelling of 28212768 in words is "twenty-eight million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 97961 195922 293883 391844 587766 783688 881649 1175532 1567376 1763298 2351064 3134752 3526596 4702128 7053192 9404256 14106384 28212768