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28415296 = 2672131741
BaseRepresentation
bin110110001100…
…1010101000000
31222110122110101
41230121111000
524233242141
62453012144
7463345300
oct154312500
958418411
1028415296
1115048918
129624054
135b6b8b0
143ab9600
152764531
hex1b19540

28415296 has 168 divisors, whose sum is σ = 76617576. Its totient is φ = 10321920.

The previous prime is 28415293. The next prime is 28415311. The reversal of 28415296 is 69251482.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 28302400 = 336^2 + 5320^2 .

Its product of digits (34560) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28415293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693036 + ... + 693076.

It is an arithmetic number, because the mean of its divisors is an integer number (456057).

Almost surely, 228415296 is an apocalyptic number.

28415296 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 28415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308788).

28415296 is an abundant number, since it is smaller than the sum of its proper divisors (48202280).

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

28415296 is a wasteful number, since it uses less digits than its factorization.

28415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 28415296 is about 5330.5999662327. The cubic root of 28415296 is about 305.1528249617.

The spelling of 28415296 in words is "twenty-eight million, four hundred fifteen thousand, two hundred ninety-six".