33148738728 has 240 divisors, whose sum is σ = 108435323700. Its totient is φ = 9433428480.

The previous prime is 33148738723. The next prime is 33148738729. The reversal of 33148738728 is 82783784133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31877245764 + 1271492964 = 178542^2 + 35658^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33148738723) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8539348 + ... + 8543228.

Almost surely, 2^33148738728 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 33148738728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217661850).

33148738728 is an abundant number, since it is smaller than the sum of its proper divisors (75286584972).

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

33148738728 is a wasteful number, since it uses less digits than its factorization.

33148738728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4162 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 33148738728 in words is "thirty-three billion, one hundred forty-eight million, seven hundred thirty-eight thousand, seven hundred twenty-eight".