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28916160 = 2635713331

28916160 has 224 divisors, whose sum is σ = 113336832. Its totient is φ = 6082560.

The previous prime is 28916143. The next prime is 28916177. The reversal of 28916160 is 6161982.

It is an interprime number because it is at equal distance from previous prime (28916143) and next prime (28916177).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×289161602 = 1672288618291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87195 + ... + 87525.

It is an arithmetic number, because the mean of its divisors is an integer number (505968).

Almost surely, 228916160 is an apocalyptic number.

28916160 is a gapful number since it is divisible by the number (20) 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 28916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668416).

28916160 is an abundant number, since it is smaller than the sum of its proper divisors (84420672).

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

28916160 is a wasteful number, since it uses less digits than its factorization.

28916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 28916160 is about 5377.3748242056. The cubic root of 28916160 is about 306.9353243280.

The spelling of 28916160 in words is "twenty-eight million, nine hundred sixteen thousand, one hundred sixty".