102528648 has 48 divisors (see below), whose sum is σ = 279377280. Its totient is φ = 33967584.

The previous prime is 102528637. The next prime is 102528653. The reversal of 102528648 is 846825201.

102528648 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 8 + 648 = 666.

It is a super-3 number, since 3×102528648³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 16287.

It is an arithmetic number, because the mean of its divisors is an integer number (5820360).

Almost surely, 2^102528648 is an apocalyptic number.

102528648 is a gapful number since it is divisible by the number (18) 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 102528648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139688640).

102528648 is an abundant number, since it is smaller than the sum of its proper divisors (176848632).

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

102528648 is a wasteful number, since it uses less digits than its factorization.

102528648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 102528648 is about 10125.6430906881. The cubic root of 102528648 is about 468.0386774960.

The spelling of 102528648 in words is "one hundred two million, five hundred twenty-eight thousand, six hundred forty-eight".