117628416 has 160 divisors (see below), whose sum is σ = 356167680. Its totient is φ = 38320128.

The previous prime is 117628403. The next prime is 117628421. The reversal of 117628416 is 614826711.

It is a happy number.

117628416 is a `hidden beast` number, since 1 + 17 + 628 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926145 + ... + 926271.

It is an arithmetic number, because the mean of its divisors is an integer number (2226048).

Almost surely, 2^117628416 is an apocalyptic number.

117628416 is a gapful number since it is divisible by the number (16) 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 117628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083840).

117628416 is an abundant number, since it is smaller than the sum of its proper divisors (238539264).

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

117628416 is an equidigital number, since it uses as much as digits as its factorization.

117628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 117628416 is about 10845.6634651828. The cubic root of 117628416 is about 489.9714213514.

It can be divided in two parts, 1176 and 28416, that added together give a palindrome (29592).

The spelling of 117628416 in words is "one hundred seventeen million, six hundred twenty-eight thousand, four hundred sixteen".