948922128 has 400 divisors, whose sum is σ = 3530381184. Its totient is φ = 238878720.

The previous prime is 948922103. The next prime is 948922153. The reversal of 948922128 is 821229849.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (948922103) and next prime (948922153).

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

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, 3692176 + ... + 3692432.

Almost surely, 2^948922128 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 948922128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765190592).

948922128 is an abundant number, since it is smaller than the sum of its proper divisors (2581459056).

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

948922128 is a wasteful number, since it uses less digits than its factorization.

948922128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 948922128 is about 30804.5796595247. The cubic root of 948922128 is about 982.6756425101.

It can be divided in two parts, 94892 and 2128, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 948922128 in words is "nine hundred forty-eight million, nine hundred twenty-two thousand, one hundred twenty-eight".