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28632032 = 2511136257
BaseRepresentation
bin110110100111…
…0001111100000
31222212122202122
41231032033200
524312211112
62501403412
7465240212
oct155161740
958778678
1028632032
1115186740
129709568
135c16440
143b345b2
1527a8872
hex1b4e3e0

28632032 has 48 divisors (see below), whose sum is σ = 66234672. Its totient is φ = 12011520.

The previous prime is 28632017. The next prime is 28632047. The reversal of 28632032 is 23023682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28632017) and next prime (28632047).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 28631992 and 28632010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1448 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (1379889).

Almost surely, 228632032 is an apocalyptic number.

28632032 is a gapful number since it is divisible by the number (22) 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 28632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33117336).

28632032 is an abundant number, since it is smaller than the sum of its proper divisors (37602640).

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

28632032 is a wasteful number, since it uses less digits than its factorization.

28632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 28632032 is about 5350.8907669658. The cubic root of 28632032 is about 305.9267057857.

The spelling of 28632032 in words is "twenty-eight million, six hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 6257 12514 25028 50056 68827 81341 100112 137654 162682 200224 275308 325364 550616 650728 894751 1101232 1301456 1789502 2202464 2602912 3579004 7158008 14316016 28632032