87228078336 has 405 divisors, whose sum is σ = 303599546481. Its totient is φ = 24837249024.

The previous prime is 87228078319. The next prime is 87228078337. The reversal of 87228078336 is 63387082278.

The square root of 87228078336 is 295344.

It is a perfect power (a square), and thus also a powerful number.

87228078336 is a `hidden beast` number, since 87 + 228 + 0 + 7 + 8 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82529798400 + 4698279936 = 287280^2 + 68544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87228078337) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 297706606 + ... + 297706898.

Almost surely, 2^87228078336 is an apocalyptic number.

87228078336 is the 295344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87228078336

87228078336 is an abundant number, since it is smaller than the sum of its proper divisors (216371468145).

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

87228078336 is an frugal number, since it uses more digits than its factorization.

87228078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 87228078336 in words is "eighty-seven billion, two hundred twenty-eight million, seventy-eight thousand, three hundred thirty-six".