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28247234464 = 2553131127139
BaseRepresentation
bin11010010011101010…
…101001011110100000
32200220121011012002001
4122103222221132200
5430322243000324
620550540133344
72016664350151
oct322352513640
980817135061
1028247234464
1110a85911379
125583b37254
132882202727
14151d749928
15b04d00e44
hex693aa97a0

28247234464 has 48 divisors (see below), whose sum is σ = 57093996960. Its totient is φ = 13751246080.

The previous prime is 28247234461. The next prime is 28247234497. The reversal of 28247234464 is 46443274282.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28247234461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158607 + ... + 285745.

It is an arithmetic number, because the mean of its divisors is an integer number (1189458270).

Almost surely, 228247234464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28247234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546998480).

28247234464 is an abundant number, since it is smaller than the sum of its proper divisors (28846762496).

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

28247234464 is a wasteful number, since it uses less digits than its factorization.

28247234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127333 (or 127325 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 46.

The spelling of 28247234464 in words is "twenty-eight billion, two hundred forty-seven million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 131 212 262 424 524 848 1048 1696 2096 4192 6943 13886 27772 55544 111088 127139 222176 254278 508556 1017112 2034224 4068448 6738367 13476734 16655209 26953468 33310418 53906936 66620836 107813872 133241672 215627744 266483344 532966688 882726077 1765452154 3530904308 7061808616 14123617232 28247234464