10172628 has 30 divisors (see below), whose sum is σ = 26594106. Its totient is φ = 3390768.

The previous prime is 10172621. The next prime is 10172641. The reversal of 10172628 is 82627101.

10172628 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8398404 + 1774224 = 2898^2 + 1332^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15375 + ... + 16022.

Almost surely, 2^10172628 is an apocalyptic number.

10172628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10172628 is an abundant number, since it is smaller than the sum of its proper divisors (16421478).

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

10172628 is a wasteful number, since it uses less digits than its factorization.

10172628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31413 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10172628 is about 3189.4557529459. The cubic root of 10172628 is about 216.6761221383.

Adding to 10172628 its reverse (82627101), we get a palindrome (92799729).

The spelling of 10172628 in words is "ten million, one hundred seventy-two thousand, six hundred twenty-eight".