10488828672 has 756 divisors, whose sum is σ = 38712346176. Its totient is φ = 2821754880.

The previous prime is 10488828653. The next prime is 10488828677. The reversal of 10488828672 is 27682888401.

10488828672 is a `hidden beast` number, since 1 + 0 + 488 + 82 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×10488828672² (a number of 21 digits) contains 22 as substring.

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 (10488828677) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 283481838 + ... + 283481874.

Almost surely, 2^10488828672 is an apocalyptic number.

10488828672 is a gapful number since it is divisible by the number (12) 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 10488828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356173088).

10488828672 is an abundant number, since it is smaller than the sum of its proper divisors (28223517504).

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

10488828672 is an frugal number, since it uses more digits than its factorization.

10488828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

It can be divided in two parts, 10488 and 828672, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 10488828672 in words is "ten billion, four hundred eighty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".