52628940 has 432 divisors, whose sum is σ = 219596832. Its totient is φ = 10450944.

The previous prime is 52628929. The next prime is 52628971. The reversal of 52628940 is 4982625.

52628940 = 153² + 154² + ... + 544².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52628895 and 52628904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3095812 + ... + 3095828.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^52628940 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 52628940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

52628940 is an abundant number, since it is smaller than the sum of its proper divisors (166967892).

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

52628940 is a wasteful number, since it uses less digits than its factorization.

52628940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52628940 is about 7254.5806219243. The cubic root of 52628940 is about 374.7499132547.

The spelling of 52628940 in words is "fifty-two million, six hundred twenty-eight thousand, nine hundred forty".