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28658880 = 2633531107
BaseRepresentation
bin110110101010…
…0110011000000
31222221000121000
41231110303000
524314041010
62502132000
7465411405
oct155246300
958830530
1028658880
11151a4928
129721000
135c25723
143b402ac
1527b17c0
hex1b54cc0

28658880 has 224 divisors, whose sum is σ = 105338880. Its totient is φ = 7326720.

The previous prime is 28658879. The next prime is 28658887. The reversal of 28658880 is 8885682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28658887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 267787 + ... + 267893.

Almost surely, 228658880 is an apocalyptic number.

28658880 is a gapful number since it is divisible by the number (20) 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 28658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

28658880 is an abundant number, since it is smaller than the sum of its proper divisors (76680000).

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

28658880 is a wasteful number, since it uses less digits than its factorization.

28658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 28658880 is about 5353.3989203122. The cubic root of 28658880 is about 306.0222974909.

The spelling of 28658880 in words is "twenty-eight million, six hundred fifty-eight thousand, eight hundred eighty".