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114776928 = 25327172197

114776928 has 216 divisors, whose sum is σ = 398269872. Its totient is φ = 30707712.

The previous prime is 114776927. The next prime is 114776941. The reversal of 114776928 is 829677411.

It is a happy number.

It is a super-2 number, since 2×1147769282 = 26347486402234368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114776927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582526 + ... + 582722.

It is an arithmetic number, because the mean of its divisors is an integer number (1843842).

Almost surely, 2114776928 is an apocalyptic number.

114776928 is a gapful number since it is divisible by the number (18) 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 114776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199134936).

114776928 is an abundant number, since it is smaller than the sum of its proper divisors (283492944).

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

114776928 is a wasteful number, since it uses less digits than its factorization.

114776928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 114776928 is about 10713.3994604887. The cubic root of 114776928 is about 485.9797786638.

The spelling of 114776928 in words is "one hundred fourteen million, seven hundred seventy-six thousand, nine hundred twenty-eight".