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87628320 = 253251331151
BaseRepresentation
bin1010011100100…
…01101000100000
320002212222110100
411032101220200
5134413101240
612410102400
72112554103
oct516215040
9202788410
1087628320
11455114aa
122541aa00
13152015a0
14b8d073a
157a5de30
hex5391a20

87628320 has 288 divisors, whose sum is σ = 334623744. Its totient is φ = 20736000.

The previous prime is 87628313. The next prime is 87628337. The reversal of 87628320 is 2382678.

It is a happy number.

87628320 is a `hidden beast` number, since 8 + 7 + 628 + 3 + 20 = 666.

It is a Cunningham number, because it is equal to 93612-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 580245 + ... + 580395.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 287628320 is an apocalyptic number.

87628320 is a gapful number since it is divisible by the number (80) 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 87628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

87628320 is an abundant number, since it is smaller than the sum of its proper divisors (246995424).

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

87628320 is a wasteful number, since it uses less digits than its factorization.

87628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87628320 is about 9360.9999465869. Note that the first 4 decimals coincide. The cubic root of 87628320 is about 444.1689155202.

The spelling of 87628320 in words is "eighty-seven million, six hundred twenty-eight thousand, three hundred twenty".