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28488864 = 2531671777
BaseRepresentation
bin110110010101…
…1010010100000
31222121101101010
41230223102200
524243120424
62454340520
7464102625
oct154532240
958541333
1028488864
1115099118
12965a740
135b96221
143ad834c
15277b229
hex1b2b4a0

28488864 has 48 divisors (see below), whose sum is σ = 75273408. Its totient is φ = 9434112.

The previous prime is 28488827. The next prime is 28488877. The reversal of 28488864 is 46888482.

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 15144 + ... + 16920.

It is an arithmetic number, because the mean of its divisors is an integer number (1568196).

Almost surely, 228488864 is an apocalyptic number.

28488864 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 28488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37636704).

28488864 is an abundant number, since it is smaller than the sum of its proper divisors (46784544).

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

28488864 is a wasteful number, since it uses less digits than its factorization.

28488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 28488864 is about 5337.4960421531. The cubic root of 28488864 is about 305.4159477616.

The spelling of 28488864 in words is "twenty-eight million, four hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 1777 2004 2672 3554 4008 5331 5344 7108 8016 10662 14216 16032 21324 28432 42648 56864 85296 170592 296759 593518 890277 1187036 1780554 2374072 3561108 4748144 7122216 9496288 14244432 28488864