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28558980 = 2234517261
BaseRepresentation
bin110110011110…
…0011010000100
31222201221120000
41230330122010
524302341410
62500041300
7464514222
oct154743204
958657500
1028558980
111513686a
129693230
135bbc108
143b15b12
152791dc0
hex1b3c684

28558980 has 180 divisors, whose sum is σ = 96730788. Its totient is φ = 7050240.

The previous prime is 28558973. The next prime is 28558991. The reversal of 28558980 is 8985582.

28558980 is a `hidden beast` number, since 2 + 8 + 558 + 98 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 28387584 = 414^2 + 5328^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468150 + ... + 468210.

Almost surely, 228558980 is an apocalyptic number.

28558980 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 28558980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365394).

28558980 is an abundant number, since it is smaller than the sum of its proper divisors (68171808).

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

28558980 is a wasteful number, since it uses less digits than its factorization.

28558980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 28558980 is about 5344.0602541513. The cubic root of 28558980 is about 305.6663028978. Note that the first 3 decimals are identical.

The spelling of 28558980 in words is "twenty-eight million, five hundred fifty-eight thousand, nine hundred eighty".