20948928 has 224 divisors, whose sum is σ = 75102720. Its totient is φ = 4976640.

The previous prime is 20948927. The next prime is 20948959. The reversal of 20948928 is 82984902.

It is a Cunningham number, because it is equal to 4577²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 20948928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20948927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192138 + ... + 192246.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^20948928 is an apocalyptic number.

20948928 is a gapful number since it is divisible by the number (28) 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 20948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

20948928 is an abundant number, since it is smaller than the sum of its proper divisors (54153792).

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

20948928 is a wasteful number, since it uses less digits than its factorization.

20948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 20948928 is about 4576.9998907581. Note that the first 3 decimals coincide. The cubic root of 20948928 is about 275.6685792951.

The spelling of 20948928 in words is "twenty million, nine hundred forty-eight thousand, nine hundred twenty-eight".