928828200096 has 216 divisors, whose sum is σ = 2836914784704. Its totient is φ = 298931109120.

The previous prime is 928828200077. The next prime is 928828200121. The reversal of 928828200096 is 690002828829.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6468601 + ... + 6610631.

It is an arithmetic number, because the mean of its divisors is an integer number (13133864744).

Almost surely, 2^928828200096 is an apocalyptic number.

928828200096 is a gapful number since it is divisible by the number (96) 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 928828200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418457392352).

928828200096 is an abundant number, since it is smaller than the sum of its proper divisors (1908086584608).

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

928828200096 is a wasteful number, since it uses less digits than its factorization.

928828200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142114 (or 142065 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 928828200096 in words is "nine hundred twenty-eight billion, eight hundred twenty-eight million, two hundred thousand, ninety-six".