101628528960 has 448 divisors, whose sum is σ = 377955901440. Its totient is φ = 22656860160.

The previous prime is 101628528931. The next prime is 101628528997. The reversal of 101628528960 is 69825826101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54316825 + ... + 54318695.

Almost surely, 2^101628528960 is an apocalyptic number.

101628528960 is a gapful number since it is divisible by the number (10) 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 101628528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188977950720).

101628528960 is an abundant number, since it is smaller than the sum of its proper divisors (276327372480).

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

101628528960 is a wasteful number, since it uses less digits than its factorization.

101628528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 101628528960 in words is "one hundred one billion, six hundred twenty-eight million, five hundred twenty-eight thousand, nine hundred sixty".