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28848456 = 233272131737
BaseRepresentation
bin110111000001…
…1000101001000
32000021122122100
41232003011020
524341122311
62510153400
7500131200
oct156030510
960248570
1028848456
11153142aa
1297b2860
135c90ac0
143b8d400
1527eca56
hex1b83148

28848456 has 288 divisors, whose sum is σ = 106437240. Its totient is φ = 6967296.

The previous prime is 28848451. The next prime is 28848467. The reversal of 28848456 is 65484882.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 1285956 = 5250^2 + 1134^2 .

It is not an unprimeable number, because it can be changed into a prime (28848451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779670 + ... + 779706.

Almost surely, 228848456 is an apocalyptic number.

28848456 is a gapful number since it is divisible by the number (26) 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 28848456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53218620).

28848456 is an abundant number, since it is smaller than the sum of its proper divisors (77588784).

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

28848456 is a wasteful number, since it uses less digits than its factorization.

28848456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 28848456 is about 5371.0758698793. The cubic root of 28848456 is about 306.6955853846.

The spelling of 28848456 in words is "twenty-eight million, eight hundred forty-eight thousand, four hundred fifty-six".