101062728 has 224 divisors, whose sum is σ = 323178240. Its totient is φ = 29393280.

The previous prime is 101062723. The next prime is 101062751. The reversal of 101062728 is 827260101.

101062728 is a `hidden beast` number, since 1 + 0 + 10 + 627 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101062723) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2350275 + ... + 2350317.

It is an arithmetic number, because the mean of its divisors is an integer number (1442760).

Almost surely, 2^101062728 is an apocalyptic number.

101062728 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 101062728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161589120).

101062728 is an abundant number, since it is smaller than the sum of its proper divisors (222115512).

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

101062728 is a wasteful number, since it uses less digits than its factorization.

101062728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101062728 is about 10052.9959713510. The cubic root of 101062728 is about 465.7973416836.

The spelling of 101062728 in words is "one hundred one million, sixty-two thousand, seven hundred twenty-eight".