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28908352 = 261123733
BaseRepresentation
bin110111001000…
…1101101000000
32000101200210201
41232101231000
524400031402
62511334544
7500500624
oct156215500
960350721
1028908352
1115355300
129821454
135cb2145
143ba7184
152810687
hex1b91b40

28908352 has 42 divisors (see below), whose sum is σ = 63070994. Its totient is φ = 13136640.

The previous prime is 28908343. The next prime is 28908409. The reversal of 28908352 is 25380982.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 3748096 = 5016^2 + 1936^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5878 + ... + 9610.

Almost surely, 228908352 is an apocalyptic number.

28908352 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 28908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31535497).

28908352 is an abundant number, since it is smaller than the sum of its proper divisors (34162642).

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

28908352 is a wasteful number, since it uses less digits than its factorization.

28908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3746 counting only the distinct ones).

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

The square root of 28908352 is about 5376.6487703773. The cubic root of 28908352 is about 306.9076954088.

The spelling of 28908352 in words is "twenty-eight million, nine hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3733 3872 7466 7744 14932 29864 41063 59728 82126 119456 164252 238912 328504 451693 657008 903386 1314016 1806772 2628032 3613544 7227088 14454176 28908352