38828970000 has 900 divisors, whose sum is σ = 153519045680. Its totient is φ = 9471168000.

The previous prime is 38828969987. The next prime is 38828970007. The reversal of 38828970000 is 7982883.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×38828970000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38828970007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1338929986 + ... + 1338930014.

Almost surely, 2^38828970000 is an apocalyptic number.

38828970000 is a gapful number since it is divisible by the number (30) 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 38828970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76759522840).

38828970000 is an abundant number, since it is smaller than the sum of its proper divisors (114690075680).

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

38828970000 is an equidigital number, since it uses as much as digits as its factorization.

38828970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38828970000 in words is "thirty-eight billion, eight hundred twenty-eight million, nine hundred seventy thousand".