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28761408 = 26321323167
BaseRepresentation
bin110110110110…
…1110101000000
32000010020020100
41231231311000
524330331113
62504242400
7466316334
oct155556500
960106210
1028761408
1115264965
129770400
135c602b0
143b697c4
1527d1d73
hex1b6dd40

28761408 has 168 divisors, whose sum is σ = 93195648. Its totient is φ = 8414208.

The previous prime is 28761407. The next prime is 28761413. The reversal of 28761408 is 80416782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28761401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172141 + ... + 172307.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 228761408 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 28761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

28761408 is an abundant number, since it is smaller than the sum of its proper divisors (64434240).

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

28761408 is a wasteful number, since it uses less digits than its factorization.

28761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28761408 is about 5362.9663433589. The cubic root of 28761408 is about 306.3867978050.

The spelling of 28761408 in words is "twenty-eight million, seven hundred sixty-one thousand, four hundred eight".