887628672 has 128 divisors (see below), whose sum is σ = 2994067200. Its totient is φ = 253601280.

The previous prime is 887628671. The next prime is 887628689. The reversal of 887628672 is 276826788.

887628672 is a `hidden beast` number, since 8 + 8 + 7 + 628 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 (887628671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847 + ... + 42537.

It is an arithmetic number, because the mean of its divisors is an integer number (23391150).

Almost surely, 2^887628672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497033600).

887628672 is an abundant number, since it is smaller than the sum of its proper divisors (2106438528).

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

887628672 is a wasteful number, since it uses less digits than its factorization.

887628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36721 (or 36703 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 887628672 is about 29793.0977241374. The cubic root of 887628672 is about 961.0451118176.

The spelling of 887628672 in words is "eight hundred eighty-seven million, six hundred twenty-eight thousand, six hundred seventy-two".