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83628828 = 223323131257
BaseRepresentation
bin1001111110000…
…01001100011100
312211100210012000
410333001030130
5132402110303
612144242300
72033555553
oct477011434
9184323160
1083628828
114322a638
1224010390
131443101a
14b16cd9a
15751dda3
hex4fc131c

83628828 has 96 divisors (see below), whose sum is σ = 228856320. Its totient is φ = 26357760.

The previous prime is 83628827. The next prime is 83628829. The reversal of 83628828 is 82882638.

It is an interprime number because it is at equal distance from previous prime (83628827) and next prime (83628829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83628821) 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 31 ways as a sum of consecutive naturals, for example, 325276 + ... + 325532.

It is an arithmetic number, because the mean of its divisors is an integer number (2383920).

Almost surely, 283628828 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 83628828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114428160).

83628828 is an abundant number, since it is smaller than the sum of its proper divisors (145227492).

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

83628828 is a wasteful number, since it uses less digits than its factorization.

83628828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 83628828 is about 9144.8798789268. The cubic root of 83628828 is about 437.3059000758.

The spelling of 83628828 in words is "eighty-three million, six hundred twenty-eight thousand, eight hundred twenty-eight".