928138610000 has 400 divisors, whose sum is σ = 2656717578240. Its totient is φ = 307419840000.

The previous prime is 928138609949. The next prime is 928138610023. The reversal of 928138610000 is 16831829.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×928138610000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259908215 + ... + 259911785.

Almost surely, 2^928138610000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928138610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328358789120).

928138610000 is an abundant number, since it is smaller than the sum of its proper divisors (1728578968240).

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

928138610000 is a wasteful number, since it uses less digits than its factorization.

928138610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 928138610000 in words is "nine hundred twenty-eight billion, one hundred thirty-eight million, six hundred ten thousand".